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Finding the Third Proportional to 95,920 and 148,938

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Solution

The third proportional to 95,920 and 148,938 is: 231,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,920 : 148,938 = 148,938 : x
  2. Step 2: Convert to fraction form
    95,920/148,938 = 148,938/x
  3. Step 3: Cross multiply
    95,920x = 148,938 × 148,938
  4. Step 4: Simplify right side
    95,920x = 22,182,527,844
  5. Step 5: Solve for x
    x = 22,182,527,844/95,920
  6. Step 6: Final answer
    x = 231,260.72

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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.