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Finding the Third Proportional to 51,864 and 73,392

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Solution

The third proportional to 51,864 and 73,392 is: 103,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864 : 73,392 = 73,392 : x
  2. Step 2: Convert to fraction form
    51,864/73,392 = 73,392/x
  3. Step 3: Cross multiply
    51,864x = 73,392 × 73,392
  4. Step 4: Simplify right side
    51,864x = 5,386,385,664
  5. Step 5: Solve for x
    x = 5,386,385,664/51,864
  6. Step 6: Final answer
    x = 103,855.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.