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Finding the Third Proportional to 86,421 and 187,314

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Solution

The third proportional to 86,421 and 187,314 is: 405,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,421 : 187,314 = 187,314 : x
  2. Step 2: Convert to fraction form
    86,421/187,314 = 187,314/x
  3. Step 3: Cross multiply
    86,421x = 187,314 × 187,314
  4. Step 4: Simplify right side
    86,421x = 35,086,534,596
  5. Step 5: Solve for x
    x = 35,086,534,596/86,421
  6. Step 6: Final answer
    x = 405,995.47

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