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Finding the Third Proportional to 45,041.63 and 104,260.50

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Solution

The third proportional to 45,041.63 and 104,260.50 is: 241,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041.63 : 104,260.50 = 104,260.50 : x
  2. Step 2: Convert to fraction form
    45,041.63/104,260.50 = 104,260.50/x
  3. Step 3: Cross multiply
    45,041.63x = 104,260.50 × 104,260.50
  4. Step 4: Simplify right side
    45,041.63x = 10,870,251,860.25
  5. Step 5: Solve for x
    x = 10,870,251,860.25/45,041.63
  6. Step 6: Final answer
    x = 241,337.91

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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.