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Finding the Third Proportional to 74,016 and 112,864

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Solution

The third proportional to 74,016 and 112,864 is: 172,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016 : 112,864 = 112,864 : x
  2. Step 2: Convert to fraction form
    74,016/112,864 = 112,864/x
  3. Step 3: Cross multiply
    74,016x = 112,864 × 112,864
  4. Step 4: Simplify right side
    74,016x = 12,738,282,496
  5. Step 5: Solve for x
    x = 12,738,282,496/74,016
  6. Step 6: Final answer
    x = 172,101.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.