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Finding the Third Proportional to 86,072 and 187,720

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Solution

The third proportional to 86,072 and 187,720 is: 409,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,072 : 187,720 = 187,720 : x
  2. Step 2: Convert to fraction form
    86,072/187,720 = 187,720/x
  3. Step 3: Cross multiply
    86,072x = 187,720 × 187,720
  4. Step 4: Simplify right side
    86,072x = 35,238,798,400
  5. Step 5: Solve for x
    x = 35,238,798,400/86,072
  6. Step 6: Final answer
    x = 409,410.71

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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.