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Finding the Third Proportional to 37,306 and 80,134

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Solution

The third proportional to 37,306 and 80,134 is: 172,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306 : 80,134 = 80,134 : x
  2. Step 2: Convert to fraction form
    37,306/80,134 = 80,134/x
  3. Step 3: Cross multiply
    37,306x = 80,134 × 80,134
  4. Step 4: Simplify right side
    37,306x = 6,421,457,956
  5. Step 5: Solve for x
    x = 6,421,457,956/37,306
  6. Step 6: Final answer
    x = 172,129.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.