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Finding the Third Proportional to 75,689 and 117,196

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Solution

The third proportional to 75,689 and 117,196 is: 181,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689 : 117,196 = 117,196 : x
  2. Step 2: Convert to fraction form
    75,689/117,196 = 117,196/x
  3. Step 3: Cross multiply
    75,689x = 117,196 × 117,196
  4. Step 4: Simplify right side
    75,689x = 13,734,902,416
  5. Step 5: Solve for x
    x = 13,734,902,416/75,689
  6. Step 6: Final answer
    x = 181,464.97

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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.