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Finding the Third Proportional to 73,982 and 112,817

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Solution

The third proportional to 73,982 and 112,817 is: 172,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982 : 112,817 = 112,817 : x
  2. Step 2: Convert to fraction form
    73,982/112,817 = 112,817/x
  3. Step 3: Cross multiply
    73,982x = 112,817 × 112,817
  4. Step 4: Simplify right side
    73,982x = 12,727,675,489
  5. Step 5: Solve for x
    x = 12,727,675,489/73,982
  6. Step 6: Final answer
    x = 172,037.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.