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Finding the Third Proportional to 129,152 and 173,559

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Solution

The third proportional to 129,152 and 173,559 is: 233,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,152 : 173,559 = 173,559 : x
  2. Step 2: Convert to fraction form
    129,152/173,559 = 173,559/x
  3. Step 3: Cross multiply
    129,152x = 173,559 × 173,559
  4. Step 4: Simplify right side
    129,152x = 30,122,726,481
  5. Step 5: Solve for x
    x = 30,122,726,481/129,152
  6. Step 6: Final answer
    x = 233,234.69

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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.