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Finding the Third Proportional to 71,181.75 and 95,888.25

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Solution

The third proportional to 71,181.75 and 95,888.25 is: 129,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,181.75 : 95,888.25 = 95,888.25 : x
  2. Step 2: Convert to fraction form
    71,181.75/95,888.25 = 95,888.25/x
  3. Step 3: Cross multiply
    71,181.75x = 95,888.25 × 95,888.25
  4. Step 4: Simplify right side
    71,181.75x = 9,194,556,488.06
  5. Step 5: Solve for x
    x = 9,194,556,488.06/71,181.75
  6. Step 6: Final answer
    x = 129,170.14

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.