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Finding the Third Proportional to 62,471 and 99,917

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Solution

The third proportional to 62,471 and 99,917 is: 159,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471 : 99,917 = 99,917 : x
  2. Step 2: Convert to fraction form
    62,471/99,917 = 99,917/x
  3. Step 3: Cross multiply
    62,471x = 99,917 × 99,917
  4. Step 4: Simplify right side
    62,471x = 9,983,406,889
  5. Step 5: Solve for x
    x = 9,983,406,889/62,471
  6. Step 6: Final answer
    x = 159,808.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.