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Finding the Third Proportional to 81,524 and 125,459

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Solution

The third proportional to 81,524 and 125,459 is: 193,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,524 : 125,459 = 125,459 : x
  2. Step 2: Convert to fraction form
    81,524/125,459 = 125,459/x
  3. Step 3: Cross multiply
    81,524x = 125,459 × 125,459
  4. Step 4: Simplify right side
    81,524x = 15,739,960,681
  5. Step 5: Solve for x
    x = 15,739,960,681/81,524
  6. Step 6: Final answer
    x = 193,071.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.