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Finding the Third Proportional to 80,501.75 and 109,327.88

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Solution

The third proportional to 80,501.75 and 109,327.88 is: 148,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,501.75 : 109,327.88 = 109,327.88 : x
  2. Step 2: Convert to fraction form
    80,501.75/109,327.88 = 109,327.88/x
  3. Step 3: Cross multiply
    80,501.75x = 109,327.88 × 109,327.88
  4. Step 4: Simplify right side
    80,501.75x = 11,952,584,252.02
  5. Step 5: Solve for x
    x = 11,952,584,252.02/80,501.75
  6. Step 6: Final answer
    x = 148,476.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.