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Finding the Third Proportional to 61,304 and 132,976

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Solution

The third proportional to 61,304 and 132,976 is: 288,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,304 : 132,976 = 132,976 : x
  2. Step 2: Convert to fraction form
    61,304/132,976 = 132,976/x
  3. Step 3: Cross multiply
    61,304x = 132,976 × 132,976
  4. Step 4: Simplify right side
    61,304x = 17,682,616,576
  5. Step 5: Solve for x
    x = 17,682,616,576/61,304
  6. Step 6: Final answer
    x = 288,441.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.