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Finding the Third Proportional to 62,969 and 98,282

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Solution

The third proportional to 62,969 and 98,282 is: 153,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,969 : 98,282 = 98,282 : x
  2. Step 2: Convert to fraction form
    62,969/98,282 = 98,282/x
  3. Step 3: Cross multiply
    62,969x = 98,282 × 98,282
  4. Step 4: Simplify right side
    62,969x = 9,659,351,524
  5. Step 5: Solve for x
    x = 9,659,351,524/62,969
  6. Step 6: Final answer
    x = 153,398.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.