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Finding the Third Proportional to 52,876.69 and 81,915.75

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Solution

The third proportional to 52,876.69 and 81,915.75 is: 126,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876.69 : 81,915.75 = 81,915.75 : x
  2. Step 2: Convert to fraction form
    52,876.69/81,915.75 = 81,915.75/x
  3. Step 3: Cross multiply
    52,876.69x = 81,915.75 × 81,915.75
  4. Step 4: Simplify right side
    52,876.69x = 6,710,190,098.06
  5. Step 5: Solve for x
    x = 6,710,190,098.06/52,876.69
  6. Step 6: Final answer
    x = 126,902.62

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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.