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Finding the Third Proportional to 86,242.50 and 187,672.50

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Solution

The third proportional to 86,242.50 and 187,672.50 is: 408,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,242.50 : 187,672.50 = 187,672.50 : x
  2. Step 2: Convert to fraction form
    86,242.50/187,672.50 = 187,672.50/x
  3. Step 3: Cross multiply
    86,242.50x = 187,672.50 × 187,672.50
  4. Step 4: Simplify right side
    86,242.50x = 35,220,967,256.25
  5. Step 5: Solve for x
    x = 35,220,967,256.25/86,242.50
  6. Step 6: Final answer
    x = 408,394.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.