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Finding the Third Proportional to 71,522 and 152,284

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Solution

The third proportional to 71,522 and 152,284 is: 324,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,522 : 152,284 = 152,284 : x
  2. Step 2: Convert to fraction form
    71,522/152,284 = 152,284/x
  3. Step 3: Cross multiply
    71,522x = 152,284 × 152,284
  4. Step 4: Simplify right side
    71,522x = 23,190,416,656
  5. Step 5: Solve for x
    x = 23,190,416,656/71,522
  6. Step 6: Final answer
    x = 324,241.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.