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Finding the Third Proportional to 62,502 and 83,493

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Solution

The third proportional to 62,502 and 83,493 is: 111,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,502 : 83,493 = 83,493 : x
  2. Step 2: Convert to fraction form
    62,502/83,493 = 83,493/x
  3. Step 3: Cross multiply
    62,502x = 83,493 × 83,493
  4. Step 4: Simplify right side
    62,502x = 6,971,081,049
  5. Step 5: Solve for x
    x = 6,971,081,049/62,502
  6. Step 6: Final answer
    x = 111,533.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.