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Finding the Third Proportional to 115,854 and 179,102

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Solution

The third proportional to 115,854 and 179,102 is: 276,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,854 : 179,102 = 179,102 : x
  2. Step 2: Convert to fraction form
    115,854/179,102 = 179,102/x
  3. Step 3: Cross multiply
    115,854x = 179,102 × 179,102
  4. Step 4: Simplify right side
    115,854x = 32,077,526,404
  5. Step 5: Solve for x
    x = 32,077,526,404/115,854
  6. Step 6: Final answer
    x = 276,878.89

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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.