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Finding the Third Proportional to 79,872 and 124,184

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Solution

The third proportional to 79,872 and 124,184 is: 193,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,872 : 124,184 = 124,184 : x
  2. Step 2: Convert to fraction form
    79,872/124,184 = 124,184/x
  3. Step 3: Cross multiply
    79,872x = 124,184 × 124,184
  4. Step 4: Simplify right side
    79,872x = 15,421,665,856
  5. Step 5: Solve for x
    x = 15,421,665,856/79,872
  6. Step 6: Final answer
    x = 193,079.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.