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Finding the Third Proportional to 62,270 and 96,686

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Solution

The third proportional to 62,270 and 96,686 is: 150,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,270 : 96,686 = 96,686 : x
  2. Step 2: Convert to fraction form
    62,270/96,686 = 96,686/x
  3. Step 3: Cross multiply
    62,270x = 96,686 × 96,686
  4. Step 4: Simplify right side
    62,270x = 9,348,182,596
  5. Step 5: Solve for x
    x = 9,348,182,596/62,270
  6. Step 6: Final answer
    x = 150,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.