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Finding the Third Proportional to 91,748.25 and 129,201.75

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Solution

The third proportional to 91,748.25 and 129,201.75 is: 181,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,748.25 : 129,201.75 = 129,201.75 : x
  2. Step 2: Convert to fraction form
    91,748.25/129,201.75 = 129,201.75/x
  3. Step 3: Cross multiply
    91,748.25x = 129,201.75 × 129,201.75
  4. Step 4: Simplify right side
    91,748.25x = 16,693,092,203.06
  5. Step 5: Solve for x
    x = 16,693,092,203.06/91,748.25
  6. Step 6: Final answer
    x = 181,944.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.