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Finding the Third Proportional to 129,176 and 173,592

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Solution

The third proportional to 129,176 and 173,592 is: 233,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,176 : 173,592 = 173,592 : x
  2. Step 2: Convert to fraction form
    129,176/173,592 = 173,592/x
  3. Step 3: Cross multiply
    129,176x = 173,592 × 173,592
  4. Step 4: Simplify right side
    129,176x = 30,134,182,464
  5. Step 5: Solve for x
    x = 30,134,182,464/129,176
  6. Step 6: Final answer
    x = 233,280.04

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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.