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Finding the Third Proportional to 74,016 and 100,331

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Solution

The third proportional to 74,016 and 100,331 is: 136,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016 : 100,331 = 100,331 : x
  2. Step 2: Convert to fraction form
    74,016/100,331 = 100,331/x
  3. Step 3: Cross multiply
    74,016x = 100,331 × 100,331
  4. Step 4: Simplify right side
    74,016x = 10,066,309,561
  5. Step 5: Solve for x
    x = 10,066,309,561/74,016
  6. Step 6: Final answer
    x = 136,001.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.