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Finding the Third Proportional to 75,186 and 117,079

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Solution

The third proportional to 75,186 and 117,079 is: 182,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,186 : 117,079 = 117,079 : x
  2. Step 2: Convert to fraction form
    75,186/117,079 = 117,079/x
  3. Step 3: Cross multiply
    75,186x = 117,079 × 117,079
  4. Step 4: Simplify right side
    75,186x = 13,707,492,241
  5. Step 5: Solve for x
    x = 13,707,492,241/75,186
  6. Step 6: Final answer
    x = 182,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.