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Finding the Third Proportional to 85,242.38 and 127,865.25

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Solution

The third proportional to 85,242.38 and 127,865.25 is: 191,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,242.38 : 127,865.25 = 127,865.25 : x
  2. Step 2: Convert to fraction form
    85,242.38/127,865.25 = 127,865.25/x
  3. Step 3: Cross multiply
    85,242.38x = 127,865.25 × 127,865.25
  4. Step 4: Simplify right side
    85,242.38x = 16,349,522,157.56
  5. Step 5: Solve for x
    x = 16,349,522,157.56/85,242.38
  6. Step 6: Final answer
    x = 191,800.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.