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Finding the Third Proportional to 74,764 and 115,882

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Solution

The third proportional to 74,764 and 115,882 is: 179,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,764 : 115,882 = 115,882 : x
  2. Step 2: Convert to fraction form
    74,764/115,882 = 115,882/x
  3. Step 3: Cross multiply
    74,764x = 115,882 × 115,882
  4. Step 4: Simplify right side
    74,764x = 13,428,637,924
  5. Step 5: Solve for x
    x = 13,428,637,924/74,764
  6. Step 6: Final answer
    x = 179,613.69

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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.