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Finding the Third Proportional to 49,596 and 75,555

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Solution

The third proportional to 49,596 and 75,555 is: 115,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596 : 75,555 = 75,555 : x
  2. Step 2: Convert to fraction form
    49,596/75,555 = 75,555/x
  3. Step 3: Cross multiply
    49,596x = 75,555 × 75,555
  4. Step 4: Simplify right side
    49,596x = 5,708,558,025
  5. Step 5: Solve for x
    x = 5,708,558,025/49,596
  6. Step 6: Final answer
    x = 115,101.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.