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Finding the Third Proportional to 129,425.06 and 276,841.69

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Solution

The third proportional to 129,425.06 and 276,841.69 is: 592,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,425.06 : 276,841.69 = 276,841.69 : x
  2. Step 2: Convert to fraction form
    129,425.06/276,841.69 = 276,841.69/x
  3. Step 3: Cross multiply
    129,425.06x = 276,841.69 × 276,841.69
  4. Step 4: Simplify right side
    129,425.06x = 76,641,319,937.85
  5. Step 5: Solve for x
    x = 76,641,319,937.85/129,425.06
  6. Step 6: Final answer
    x = 592,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.