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Finding the Third Proportional to 62,849 and 87,913

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Solution

The third proportional to 62,849 and 87,913 is: 122,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,849 : 87,913 = 87,913 : x
  2. Step 2: Convert to fraction form
    62,849/87,913 = 87,913/x
  3. Step 3: Cross multiply
    62,849x = 87,913 × 87,913
  4. Step 4: Simplify right side
    62,849x = 7,728,695,569
  5. Step 5: Solve for x
    x = 7,728,695,569/62,849
  6. Step 6: Final answer
    x = 122,972.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.