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Finding the Third Proportional to 75,522 and 117,171

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Solution

The third proportional to 75,522 and 117,171 is: 181,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,522 : 117,171 = 117,171 : x
  2. Step 2: Convert to fraction form
    75,522/117,171 = 117,171/x
  3. Step 3: Cross multiply
    75,522x = 117,171 × 117,171
  4. Step 4: Simplify right side
    75,522x = 13,729,043,241
  5. Step 5: Solve for x
    x = 13,729,043,241/75,522
  6. Step 6: Final answer
    x = 181,788.66

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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.