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Finding the Third Proportional to 124,499 and 168,817

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Solution

The third proportional to 124,499 and 168,817 is: 228,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,499 : 168,817 = 168,817 : x
  2. Step 2: Convert to fraction form
    124,499/168,817 = 168,817/x
  3. Step 3: Cross multiply
    124,499x = 168,817 × 168,817
  4. Step 4: Simplify right side
    124,499x = 28,499,179,489
  5. Step 5: Solve for x
    x = 28,499,179,489/124,499
  6. Step 6: Final answer
    x = 228,910.91

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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.