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Finding the Third Proportional to 86,311.50 and 187,419

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Solution

The third proportional to 86,311.50 and 187,419 is: 406,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,311.50 : 187,419 = 187,419 : x
  2. Step 2: Convert to fraction form
    86,311.50/187,419 = 187,419/x
  3. Step 3: Cross multiply
    86,311.50x = 187,419 × 187,419
  4. Step 4: Simplify right side
    86,311.50x = 35,125,881,561
  5. Step 5: Solve for x
    x = 35,125,881,561/86,311.50
  6. Step 6: Final answer
    x = 406,966.41

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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.