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Finding the Third Proportional to 63,810 and 89,418

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Solution

The third proportional to 63,810 and 89,418 is: 125,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,810 : 89,418 = 89,418 : x
  2. Step 2: Convert to fraction form
    63,810/89,418 = 89,418/x
  3. Step 3: Cross multiply
    63,810x = 89,418 × 89,418
  4. Step 4: Simplify right side
    63,810x = 7,995,578,724
  5. Step 5: Solve for x
    x = 7,995,578,724/63,810
  6. Step 6: Final answer
    x = 125,302.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.