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Finding the Third Proportional to 75,934 and 115,774

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Solution

The third proportional to 75,934 and 115,774 is: 176,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,934 : 115,774 = 115,774 : x
  2. Step 2: Convert to fraction form
    75,934/115,774 = 115,774/x
  3. Step 3: Cross multiply
    75,934x = 115,774 × 115,774
  4. Step 4: Simplify right side
    75,934x = 13,403,619,076
  5. Step 5: Solve for x
    x = 13,403,619,076/75,934
  6. Step 6: Final answer
    x = 176,516.70

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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.