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Finding the Third Proportional to 71,517.75 and 157,317.75

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Solution

The third proportional to 71,517.75 and 157,317.75 is: 346,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,517.75 : 157,317.75 = 157,317.75 : x
  2. Step 2: Convert to fraction form
    71,517.75/157,317.75 = 157,317.75/x
  3. Step 3: Cross multiply
    71,517.75x = 157,317.75 × 157,317.75
  4. Step 4: Simplify right side
    71,517.75x = 24,748,874,465.06
  5. Step 5: Solve for x
    x = 24,748,874,465.06/71,517.75
  6. Step 6: Final answer
    x = 346,052.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.