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Finding the Third Proportional to 37,055 and 79,942

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Solution

The third proportional to 37,055 and 79,942 is: 172,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,055 : 79,942 = 79,942 : x
  2. Step 2: Convert to fraction form
    37,055/79,942 = 79,942/x
  3. Step 3: Cross multiply
    37,055x = 79,942 × 79,942
  4. Step 4: Simplify right side
    37,055x = 6,390,723,364
  5. Step 5: Solve for x
    x = 6,390,723,364/37,055
  6. Step 6: Final answer
    x = 172,465.88

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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.