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Finding the Third Proportional to 60,894 and 95,548

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Solution

The third proportional to 60,894 and 95,548 is: 149,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,894 : 95,548 = 95,548 : x
  2. Step 2: Convert to fraction form
    60,894/95,548 = 95,548/x
  3. Step 3: Cross multiply
    60,894x = 95,548 × 95,548
  4. Step 4: Simplify right side
    60,894x = 9,129,420,304
  5. Step 5: Solve for x
    x = 9,129,420,304/60,894
  6. Step 6: Final answer
    x = 149,923.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.