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Finding the Third Proportional to 72,182.25 and 106,419.38

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Solution

The third proportional to 72,182.25 and 106,419.38 is: 156,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,182.25 : 106,419.38 = 106,419.38 : x
  2. Step 2: Convert to fraction form
    72,182.25/106,419.38 = 106,419.38/x
  3. Step 3: Cross multiply
    72,182.25x = 106,419.38 × 106,419.38
  4. Step 4: Simplify right side
    72,182.25x = 11,325,083,375.39
  5. Step 5: Solve for x
    x = 11,325,083,375.39/72,182.25
  6. Step 6: Final answer
    x = 156,895.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.