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Finding the Third Proportional to 72,016.88 and 109,020.38

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Solution

The third proportional to 72,016.88 and 109,020.38 is: 165,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,016.88 : 109,020.38 = 109,020.38 : x
  2. Step 2: Convert to fraction form
    72,016.88/109,020.38 = 109,020.38/x
  3. Step 3: Cross multiply
    72,016.88x = 109,020.38 × 109,020.38
  4. Step 4: Simplify right side
    72,016.88x = 11,885,442,165.14
  5. Step 5: Solve for x
    x = 11,885,442,165.14/72,016.88
  6. Step 6: Final answer
    x = 165,036.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.