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Finding the Third Proportional to 74,016.28 and 109,384.17

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Solution

The third proportional to 74,016.28 and 109,384.17 is: 161,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016.28 : 109,384.17 = 109,384.17 : x
  2. Step 2: Convert to fraction form
    74,016.28/109,384.17 = 109,384.17/x
  3. Step 3: Cross multiply
    74,016.28x = 109,384.17 × 109,384.17
  4. Step 4: Simplify right side
    74,016.28x = 11,964,897,056.78
  5. Step 5: Solve for x
    x = 11,964,897,056.78/74,016.28
  6. Step 6: Final answer
    x = 161,652.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.