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Finding the Third Proportional to 62,820 and 86,452

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Solution

The third proportional to 62,820 and 86,452 is: 118,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,820 : 86,452 = 86,452 : x
  2. Step 2: Convert to fraction form
    62,820/86,452 = 86,452/x
  3. Step 3: Cross multiply
    62,820x = 86,452 × 86,452
  4. Step 4: Simplify right side
    62,820x = 7,473,948,304
  5. Step 5: Solve for x
    x = 7,473,948,304/62,820
  6. Step 6: Final answer
    x = 118,974.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.