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Finding the Third Proportional to 61,229.25 and 89,748

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Solution

The third proportional to 61,229.25 and 89,748 is: 131,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,229.25 : 89,748 = 89,748 : x
  2. Step 2: Convert to fraction form
    61,229.25/89,748 = 89,748/x
  3. Step 3: Cross multiply
    61,229.25x = 89,748 × 89,748
  4. Step 4: Simplify right side
    61,229.25x = 8,054,703,504
  5. Step 5: Solve for x
    x = 8,054,703,504/61,229.25
  6. Step 6: Final answer
    x = 131,549.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.