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Finding the Third Proportional to 109,456.31 and 139,861.69

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Solution

The third proportional to 109,456.31 and 139,861.69 is: 178,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,456.31 : 139,861.69 = 139,861.69 : x
  2. Step 2: Convert to fraction form
    109,456.31/139,861.69 = 139,861.69/x
  3. Step 3: Cross multiply
    109,456.31x = 139,861.69 × 139,861.69
  4. Step 4: Simplify right side
    109,456.31x = 19,561,291,630.35
  5. Step 5: Solve for x
    x = 19,561,291,630.35/109,456.31
  6. Step 6: Final answer
    x = 178,713.23

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.