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Finding the Third Proportional to 61,716 and 132,780

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Solution

The third proportional to 61,716 and 132,780 is: 285,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,716 : 132,780 = 132,780 : x
  2. Step 2: Convert to fraction form
    61,716/132,780 = 132,780/x
  3. Step 3: Cross multiply
    61,716x = 132,780 × 132,780
  4. Step 4: Simplify right side
    61,716x = 17,630,528,400
  5. Step 5: Solve for x
    x = 17,630,528,400/61,716
  6. Step 6: Final answer
    x = 285,671.92

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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.