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Finding the Third Proportional to 45,509 and 94,652

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Solution

The third proportional to 45,509 and 94,652 is: 196,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,509 : 94,652 = 94,652 : x
  2. Step 2: Convert to fraction form
    45,509/94,652 = 94,652/x
  3. Step 3: Cross multiply
    45,509x = 94,652 × 94,652
  4. Step 4: Simplify right side
    45,509x = 8,959,001,104
  5. Step 5: Solve for x
    x = 8,959,001,104/45,509
  6. Step 6: Final answer
    x = 196,862.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.