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Finding the Third Proportional to 86,425 and 187,604

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Solution

The third proportional to 86,425 and 187,604 is: 407,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,425 : 187,604 = 187,604 : x
  2. Step 2: Convert to fraction form
    86,425/187,604 = 187,604/x
  3. Step 3: Cross multiply
    86,425x = 187,604 × 187,604
  4. Step 4: Simplify right side
    86,425x = 35,195,260,816
  5. Step 5: Solve for x
    x = 35,195,260,816/86,425
  6. Step 6: Final answer
    x = 407,234.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.