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Finding the Third Proportional to 86,247 and 187,681

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Solution

The third proportional to 86,247 and 187,681 is: 408,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,247 : 187,681 = 187,681 : x
  2. Step 2: Convert to fraction form
    86,247/187,681 = 187,681/x
  3. Step 3: Cross multiply
    86,247x = 187,681 × 187,681
  4. Step 4: Simplify right side
    86,247x = 35,224,157,761
  5. Step 5: Solve for x
    x = 35,224,157,761/86,247
  6. Step 6: Final answer
    x = 408,410.24

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Why These Related Problems?

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