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Finding the Third Proportional to 59,766 and 89,298

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Solution

The third proportional to 59,766 and 89,298 is: 133,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,766 : 89,298 = 89,298 : x
  2. Step 2: Convert to fraction form
    59,766/89,298 = 89,298/x
  3. Step 3: Cross multiply
    59,766x = 89,298 × 89,298
  4. Step 4: Simplify right side
    59,766x = 7,974,132,804
  5. Step 5: Solve for x
    x = 7,974,132,804/59,766
  6. Step 6: Final answer
    x = 133,422.56

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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.