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Finding the Third Proportional to 62,294 and 89,545

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Solution

The third proportional to 62,294 and 89,545 is: 128,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,294 : 89,545 = 89,545 : x
  2. Step 2: Convert to fraction form
    62,294/89,545 = 89,545/x
  3. Step 3: Cross multiply
    62,294x = 89,545 × 89,545
  4. Step 4: Simplify right side
    62,294x = 8,018,307,025
  5. Step 5: Solve for x
    x = 8,018,307,025/62,294
  6. Step 6: Final answer
    x = 128,717.16

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.