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Finding the Third Proportional to 91,748.25 and 141,795

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Solution

The third proportional to 91,748.25 and 141,795 is: 219,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,748.25 : 141,795 = 141,795 : x
  2. Step 2: Convert to fraction form
    91,748.25/141,795 = 141,795/x
  3. Step 3: Cross multiply
    91,748.25x = 141,795 × 141,795
  4. Step 4: Simplify right side
    91,748.25x = 20,105,822,025
  5. Step 5: Solve for x
    x = 20,105,822,025/91,748.25
  6. Step 6: Final answer
    x = 219,141.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.