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Finding the Third Proportional to 59,942 and 89,502

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Solution

The third proportional to 59,942 and 89,502 is: 133,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,942 : 89,502 = 89,502 : x
  2. Step 2: Convert to fraction form
    59,942/89,502 = 89,502/x
  3. Step 3: Cross multiply
    59,942x = 89,502 × 89,502
  4. Step 4: Simplify right side
    59,942x = 8,010,608,004
  5. Step 5: Solve for x
    x = 8,010,608,004/59,942
  6. Step 6: Final answer
    x = 133,639.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.