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Finding the Third Proportional to 61,584 and 132,782

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Solution

The third proportional to 61,584 and 132,782 is: 286,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,584 : 132,782 = 132,782 : x
  2. Step 2: Convert to fraction form
    61,584/132,782 = 132,782/x
  3. Step 3: Cross multiply
    61,584x = 132,782 × 132,782
  4. Step 4: Simplify right side
    61,584x = 17,631,059,524
  5. Step 5: Solve for x
    x = 17,631,059,524/61,584
  6. Step 6: Final answer
    x = 286,292.86

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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.