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Finding the Third Proportional to 51,462.84 and 79,757.16

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Solution

The third proportional to 51,462.84 and 79,757.16 is: 123,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462.84 : 79,757.16 = 79,757.16 : x
  2. Step 2: Convert to fraction form
    51,462.84/79,757.16 = 79,757.16/x
  3. Step 3: Cross multiply
    51,462.84x = 79,757.16 × 79,757.16
  4. Step 4: Simplify right side
    51,462.84x = 6,361,203,973.09
  5. Step 5: Solve for x
    x = 6,361,203,973.09/51,462.84
  6. Step 6: Final answer
    x = 123,607.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.