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Finding the Third Proportional to 81,753.75 and 109,866.38

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Solution

The third proportional to 81,753.75 and 109,866.38 is: 147,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,753.75 : 109,866.38 = 109,866.38 : x
  2. Step 2: Convert to fraction form
    81,753.75/109,866.38 = 109,866.38/x
  3. Step 3: Cross multiply
    81,753.75x = 109,866.38 × 109,866.38
  4. Step 4: Simplify right side
    81,753.75x = 12,070,620,355.64
  5. Step 5: Solve for x
    x = 12,070,620,355.64/81,753.75
  6. Step 6: Final answer
    x = 147,646.08

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.