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Finding the Third Proportional to 61,155.25 and 86,120

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Solution

The third proportional to 61,155.25 and 86,120 is: 121,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,155.25 : 86,120 = 86,120 : x
  2. Step 2: Convert to fraction form
    61,155.25/86,120 = 86,120/x
  3. Step 3: Cross multiply
    61,155.25x = 86,120 × 86,120
  4. Step 4: Simplify right side
    61,155.25x = 7,416,654,400
  5. Step 5: Solve for x
    x = 7,416,654,400/61,155.25
  6. Step 6: Final answer
    x = 121,275.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.