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Finding the Third Proportional to 37,285 and 80,919

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Solution

The third proportional to 37,285 and 80,919 is: 175,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,285 : 80,919 = 80,919 : x
  2. Step 2: Convert to fraction form
    37,285/80,919 = 80,919/x
  3. Step 3: Cross multiply
    37,285x = 80,919 × 80,919
  4. Step 4: Simplify right side
    37,285x = 6,547,884,561
  5. Step 5: Solve for x
    x = 6,547,884,561/37,285
  6. Step 6: Final answer
    x = 175,617.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.