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Finding the Third Proportional to 51,416 and 111,472

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Solution

The third proportional to 51,416 and 111,472 is: 241,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,416 : 111,472 = 111,472 : x
  2. Step 2: Convert to fraction form
    51,416/111,472 = 111,472/x
  3. Step 3: Cross multiply
    51,416x = 111,472 × 111,472
  4. Step 4: Simplify right side
    51,416x = 12,426,006,784
  5. Step 5: Solve for x
    x = 12,426,006,784/51,416
  6. Step 6: Final answer
    x = 241,675.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.