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Finding the Third Proportional to 91,748 and 151,845

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Solution

The third proportional to 91,748 and 151,845 is: 251,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,748 : 151,845 = 151,845 : x
  2. Step 2: Convert to fraction form
    91,748/151,845 = 151,845/x
  3. Step 3: Cross multiply
    91,748x = 151,845 × 151,845
  4. Step 4: Simplify right side
    91,748x = 23,056,904,025
  5. Step 5: Solve for x
    x = 23,056,904,025/91,748
  6. Step 6: Final answer
    x = 251,306.88

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.