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Finding the Third Proportional to 62,234 and 83,847

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Solution

The third proportional to 62,234 and 83,847 is: 112,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,234 : 83,847 = 83,847 : x
  2. Step 2: Convert to fraction form
    62,234/83,847 = 83,847/x
  3. Step 3: Cross multiply
    62,234x = 83,847 × 83,847
  4. Step 4: Simplify right side
    62,234x = 7,030,319,409
  5. Step 5: Solve for x
    x = 7,030,319,409/62,234
  6. Step 6: Final answer
    x = 112,965.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.