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Finding the Third Proportional to 74,890 and 159,016

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Solution

The third proportional to 74,890 and 159,016 is: 337,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,890 : 159,016 = 159,016 : x
  2. Step 2: Convert to fraction form
    74,890/159,016 = 159,016/x
  3. Step 3: Cross multiply
    74,890x = 159,016 × 159,016
  4. Step 4: Simplify right side
    74,890x = 25,286,088,256
  5. Step 5: Solve for x
    x = 25,286,088,256/74,890
  6. Step 6: Final answer
    x = 337,643.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.