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Finding the Third Proportional to 41,656 and 74,072

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Solution

The third proportional to 41,656 and 74,072 is: 131,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656 : 74,072 = 74,072 : x
  2. Step 2: Convert to fraction form
    41,656/74,072 = 74,072/x
  3. Step 3: Cross multiply
    41,656x = 74,072 × 74,072
  4. Step 4: Simplify right side
    41,656x = 5,486,661,184
  5. Step 5: Solve for x
    x = 5,486,661,184/41,656
  6. Step 6: Final answer
    x = 131,713.59

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.