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Finding the Third Proportional to 95,377.50 and 141,446.25

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Solution

The third proportional to 95,377.50 and 141,446.25 is: 209,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,377.50 : 141,446.25 = 141,446.25 : x
  2. Step 2: Convert to fraction form
    95,377.50/141,446.25 = 141,446.25/x
  3. Step 3: Cross multiply
    95,377.50x = 141,446.25 × 141,446.25
  4. Step 4: Simplify right side
    95,377.50x = 20,007,041,639.06
  5. Step 5: Solve for x
    x = 20,007,041,639.06/95,377.50
  6. Step 6: Final answer
    x = 209,766.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.