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Finding the Third Proportional to 65,698 and 148,934

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Solution

The third proportional to 65,698 and 148,934 is: 337,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698 : 148,934 = 148,934 : x
  2. Step 2: Convert to fraction form
    65,698/148,934 = 148,934/x
  3. Step 3: Cross multiply
    65,698x = 148,934 × 148,934
  4. Step 4: Simplify right side
    65,698x = 22,181,336,356
  5. Step 5: Solve for x
    x = 22,181,336,356/65,698
  6. Step 6: Final answer
    x = 337,625.75

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.