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Finding the Third Proportional to 59,481 and 81,017

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Solution

The third proportional to 59,481 and 81,017 is: 110,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,481 : 81,017 = 81,017 : x
  2. Step 2: Convert to fraction form
    59,481/81,017 = 81,017/x
  3. Step 3: Cross multiply
    59,481x = 81,017 × 81,017
  4. Step 4: Simplify right side
    59,481x = 6,563,754,289
  5. Step 5: Solve for x
    x = 6,563,754,289/59,481
  6. Step 6: Final answer
    x = 110,350.44

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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.