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Finding the Third Proportional to 80,716 and 187,570

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Solution

The third proportional to 80,716 and 187,570 is: 435,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,716 : 187,570 = 187,570 : x
  2. Step 2: Convert to fraction form
    80,716/187,570 = 187,570/x
  3. Step 3: Cross multiply
    80,716x = 187,570 × 187,570
  4. Step 4: Simplify right side
    80,716x = 35,182,504,900
  5. Step 5: Solve for x
    x = 35,182,504,900/80,716
  6. Step 6: Final answer
    x = 435,880.18

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.