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Finding the Third Proportional to 61,587 and 132,671

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Solution

The third proportional to 61,587 and 132,671 is: 285,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,587 : 132,671 = 132,671 : x
  2. Step 2: Convert to fraction form
    61,587/132,671 = 132,671/x
  3. Step 3: Cross multiply
    61,587x = 132,671 × 132,671
  4. Step 4: Simplify right side
    61,587x = 17,601,594,241
  5. Step 5: Solve for x
    x = 17,601,594,241/61,587
  6. Step 6: Final answer
    x = 285,800.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.