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Finding the Third Proportional to 51,288 and 111,432

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Solution

The third proportional to 51,288 and 111,432 is: 242,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,288 : 111,432 = 111,432 : x
  2. Step 2: Convert to fraction form
    51,288/111,432 = 111,432/x
  3. Step 3: Cross multiply
    51,288x = 111,432 × 111,432
  4. Step 4: Simplify right side
    51,288x = 12,417,090,624
  5. Step 5: Solve for x
    x = 12,417,090,624/51,288
  6. Step 6: Final answer
    x = 242,105.18

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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.