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Finding the Third Proportional to 81,118 and 108,507

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Solution

The third proportional to 81,118 and 108,507 is: 145,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,118 : 108,507 = 108,507 : x
  2. Step 2: Convert to fraction form
    81,118/108,507 = 108,507/x
  3. Step 3: Cross multiply
    81,118x = 108,507 × 108,507
  4. Step 4: Simplify right side
    81,118x = 11,773,769,049
  5. Step 5: Solve for x
    x = 11,773,769,049/81,118
  6. Step 6: Final answer
    x = 145,143.73

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Why These Related Problems?

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