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Finding the Third Proportional to 129,452 and 173,847

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Solution

The third proportional to 129,452 and 173,847 is: 233,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,452 : 173,847 = 173,847 : x
  2. Step 2: Convert to fraction form
    129,452/173,847 = 173,847/x
  3. Step 3: Cross multiply
    129,452x = 173,847 × 173,847
  4. Step 4: Simplify right side
    129,452x = 30,222,779,409
  5. Step 5: Solve for x
    x = 30,222,779,409/129,452
  6. Step 6: Final answer
    x = 233,467.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.