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Finding the Third Proportional to 61,348 and 86,996

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Solution

The third proportional to 61,348 and 86,996 is: 123,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,348 : 86,996 = 86,996 : x
  2. Step 2: Convert to fraction form
    61,348/86,996 = 86,996/x
  3. Step 3: Cross multiply
    61,348x = 86,996 × 86,996
  4. Step 4: Simplify right side
    61,348x = 7,568,304,016
  5. Step 5: Solve for x
    x = 7,568,304,016/61,348
  6. Step 6: Final answer
    x = 123,366.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.