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Finding the Third Proportional to 51,234 and 108,540

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Solution

The third proportional to 51,234 and 108,540 is: 229,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234 : 108,540 = 108,540 : x
  2. Step 2: Convert to fraction form
    51,234/108,540 = 108,540/x
  3. Step 3: Cross multiply
    51,234x = 108,540 × 108,540
  4. Step 4: Simplify right side
    51,234x = 11,780,931,600
  5. Step 5: Solve for x
    x = 11,780,931,600/51,234
  6. Step 6: Final answer
    x = 229,943.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.