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Finding the Third Proportional to 95,885 and 148,604

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Solution

The third proportional to 95,885 and 148,604 is: 230,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,885 : 148,604 = 148,604 : x
  2. Step 2: Convert to fraction form
    95,885/148,604 = 148,604/x
  3. Step 3: Cross multiply
    95,885x = 148,604 × 148,604
  4. Step 4: Simplify right side
    95,885x = 22,083,148,816
  5. Step 5: Solve for x
    x = 22,083,148,816/95,885
  6. Step 6: Final answer
    x = 230,308.69

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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.