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Finding the Third Proportional to 75,140 and 117,016

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Solution

The third proportional to 75,140 and 117,016 is: 182,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,140 : 117,016 = 117,016 : x
  2. Step 2: Convert to fraction form
    75,140/117,016 = 117,016/x
  3. Step 3: Cross multiply
    75,140x = 117,016 × 117,016
  4. Step 4: Simplify right side
    75,140x = 13,692,744,256
  5. Step 5: Solve for x
    x = 13,692,744,256/75,140
  6. Step 6: Final answer
    x = 182,229.76

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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.