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Finding the Third Proportional to 51,478 and 111,076

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Solution

The third proportional to 51,478 and 111,076 is: 239,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478 : 111,076 = 111,076 : x
  2. Step 2: Convert to fraction form
    51,478/111,076 = 111,076/x
  3. Step 3: Cross multiply
    51,478x = 111,076 × 111,076
  4. Step 4: Simplify right side
    51,478x = 12,337,877,776
  5. Step 5: Solve for x
    x = 12,337,877,776/51,478
  6. Step 6: Final answer
    x = 239,672.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.