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Finding the Third Proportional to 37,122 and 80,082

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Solution

The third proportional to 37,122 and 80,082 is: 172,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122 : 80,082 = 80,082 : x
  2. Step 2: Convert to fraction form
    37,122/80,082 = 80,082/x
  3. Step 3: Cross multiply
    37,122x = 80,082 × 80,082
  4. Step 4: Simplify right side
    37,122x = 6,413,126,724
  5. Step 5: Solve for x
    x = 6,413,126,724/37,122
  6. Step 6: Final answer
    x = 172,758.11

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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.