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Finding the Third Proportional to 61,536 and 132,960

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Solution

The third proportional to 61,536 and 132,960 is: 287,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536 : 132,960 = 132,960 : x
  2. Step 2: Convert to fraction form
    61,536/132,960 = 132,960/x
  3. Step 3: Cross multiply
    61,536x = 132,960 × 132,960
  4. Step 4: Simplify right side
    61,536x = 17,678,361,600
  5. Step 5: Solve for x
    x = 17,678,361,600/61,536
  6. Step 6: Final answer
    x = 287,284.87

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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.