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Finding the Third Proportional to 61,576 and 132,767

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Solution

The third proportional to 61,576 and 132,767 is: 286,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,576 : 132,767 = 132,767 : x
  2. Step 2: Convert to fraction form
    61,576/132,767 = 132,767/x
  3. Step 3: Cross multiply
    61,576x = 132,767 × 132,767
  4. Step 4: Simplify right side
    61,576x = 17,627,076,289
  5. Step 5: Solve for x
    x = 17,627,076,289/61,576
  6. Step 6: Final answer
    x = 286,265.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.