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Finding the Third Proportional to 85,255.13 and 127,356.19

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Solution

The third proportional to 85,255.13 and 127,356.19 is: 190,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,255.13 : 127,356.19 = 127,356.19 : x
  2. Step 2: Convert to fraction form
    85,255.13/127,356.19 = 127,356.19/x
  3. Step 3: Cross multiply
    85,255.13x = 127,356.19 × 127,356.19
  4. Step 4: Simplify right side
    85,255.13x = 16,219,598,494.54
  5. Step 5: Solve for x
    x = 16,219,598,494.54/85,255.13
  6. Step 6: Final answer
    x = 190,247.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.