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Finding the Third Proportional to 61,839 and 95,679

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Solution

The third proportional to 61,839 and 95,679 is: 148,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,839 : 95,679 = 95,679 : x
  2. Step 2: Convert to fraction form
    61,839/95,679 = 95,679/x
  3. Step 3: Cross multiply
    61,839x = 95,679 × 95,679
  4. Step 4: Simplify right side
    61,839x = 9,154,471,041
  5. Step 5: Solve for x
    x = 9,154,471,041/61,839
  6. Step 6: Final answer
    x = 148,037.18

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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.