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Finding the Third Proportional to 74,016.28 and 159,856.03

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Solution

The third proportional to 74,016.28 and 159,856.03 is: 345,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016.28 : 159,856.03 = 159,856.03 : x
  2. Step 2: Convert to fraction form
    74,016.28/159,856.03 = 159,856.03/x
  3. Step 3: Cross multiply
    74,016.28x = 159,856.03 × 159,856.03
  4. Step 4: Simplify right side
    74,016.28x = 25,553,950,727.00
  5. Step 5: Solve for x
    x = 25,553,950,727.00/74,016.28
  6. Step 6: Final answer
    x = 345,247.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.