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Finding the Third Proportional to 71,988.75 and 157,079.25

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Solution

The third proportional to 71,988.75 and 157,079.25 is: 342,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,988.75 : 157,079.25 = 157,079.25 : x
  2. Step 2: Convert to fraction form
    71,988.75/157,079.25 = 157,079.25/x
  3. Step 3: Cross multiply
    71,988.75x = 157,079.25 × 157,079.25
  4. Step 4: Simplify right side
    71,988.75x = 24,673,890,780.56
  5. Step 5: Solve for x
    x = 24,673,890,780.56/71,988.75
  6. Step 6: Final answer
    x = 342,746.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.