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Finding the Third Proportional to 61,682 and 88,140

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Solution

The third proportional to 61,682 and 88,140 is: 125,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,682 : 88,140 = 88,140 : x
  2. Step 2: Convert to fraction form
    61,682/88,140 = 88,140/x
  3. Step 3: Cross multiply
    61,682x = 88,140 × 88,140
  4. Step 4: Simplify right side
    61,682x = 7,768,659,600
  5. Step 5: Solve for x
    x = 7,768,659,600/61,682
  6. Step 6: Final answer
    x = 125,946.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.