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Finding the Third Proportional to 86,571 and 187,904

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Solution

The third proportional to 86,571 and 187,904 is: 407,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,571 : 187,904 = 187,904 : x
  2. Step 2: Convert to fraction form
    86,571/187,904 = 187,904/x
  3. Step 3: Cross multiply
    86,571x = 187,904 × 187,904
  4. Step 4: Simplify right side
    86,571x = 35,307,913,216
  5. Step 5: Solve for x
    x = 35,307,913,216/86,571
  6. Step 6: Final answer
    x = 407,849.20

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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.