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Finding the Third Proportional to 122,168.25 and 161,017.88

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Solution

The third proportional to 122,168.25 and 161,017.88 is: 212,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,168.25 : 161,017.88 = 161,017.88 : x
  2. Step 2: Convert to fraction form
    122,168.25/161,017.88 = 161,017.88/x
  3. Step 3: Cross multiply
    122,168.25x = 161,017.88 × 161,017.88
  4. Step 4: Simplify right side
    122,168.25x = 25,926,756,069.52
  5. Step 5: Solve for x
    x = 25,926,756,069.52/122,168.25
  6. Step 6: Final answer
    x = 212,221.72

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.