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Finding the Third Proportional to 86,373 and 187,500

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Solution

The third proportional to 86,373 and 187,500 is: 407,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,373 : 187,500 = 187,500 : x
  2. Step 2: Convert to fraction form
    86,373/187,500 = 187,500/x
  3. Step 3: Cross multiply
    86,373x = 187,500 × 187,500
  4. Step 4: Simplify right side
    86,373x = 35,156,250,000
  5. Step 5: Solve for x
    x = 35,156,250,000/86,373
  6. Step 6: Final answer
    x = 407,028.24

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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.