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Finding the Third Proportional to 86,541.75 and 187,845.75

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Solution

The third proportional to 86,541.75 and 187,845.75 is: 407,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541.75 : 187,845.75 = 187,845.75 : x
  2. Step 2: Convert to fraction form
    86,541.75/187,845.75 = 187,845.75/x
  3. Step 3: Cross multiply
    86,541.75x = 187,845.75 × 187,845.75
  4. Step 4: Simplify right side
    86,541.75x = 35,286,025,793.06
  5. Step 5: Solve for x
    x = 35,286,025,793.06/86,541.75
  6. Step 6: Final answer
    x = 407,734.14

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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.