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Finding the Third Proportional to 75,762 and 115,218

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Solution

The third proportional to 75,762 and 115,218 is: 175,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762 : 115,218 = 115,218 : x
  2. Step 2: Convert to fraction form
    75,762/115,218 = 115,218/x
  3. Step 3: Cross multiply
    75,762x = 115,218 × 115,218
  4. Step 4: Simplify right side
    75,762x = 13,275,187,524
  5. Step 5: Solve for x
    x = 13,275,187,524/75,762
  6. Step 6: Final answer
    x = 175,222.24

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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.