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Finding the Third Proportional to 71,677.75 and 167,404.25

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Solution

The third proportional to 71,677.75 and 167,404.25 is: 390,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,677.75 : 167,404.25 = 167,404.25 : x
  2. Step 2: Convert to fraction form
    71,677.75/167,404.25 = 167,404.25/x
  3. Step 3: Cross multiply
    71,677.75x = 167,404.25 × 167,404.25
  4. Step 4: Simplify right side
    71,677.75x = 28,024,182,918.06
  5. Step 5: Solve for x
    x = 28,024,182,918.06/71,677.75
  6. Step 6: Final answer
    x = 390,974.65

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.