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Finding the Third Proportional to 45,038.25 and 104,252.63

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Solution

The third proportional to 45,038.25 and 104,252.63 is: 241,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038.25 : 104,252.63 = 104,252.63 : x
  2. Step 2: Convert to fraction form
    45,038.25/104,252.63 = 104,252.63/x
  3. Step 3: Cross multiply
    45,038.25x = 104,252.63 × 104,252.63
  4. Step 4: Simplify right side
    45,038.25x = 10,868,609,819.39
  5. Step 5: Solve for x
    x = 10,868,609,819.39/45,038.25
  6. Step 6: Final answer
    x = 241,319.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.