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Finding the Third Proportional to 85,734.56 and 127,360.13

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Solution

The third proportional to 85,734.56 and 127,360.13 is: 189,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734.56 : 127,360.13 = 127,360.13 : x
  2. Step 2: Convert to fraction form
    85,734.56/127,360.13 = 127,360.13/x
  3. Step 3: Cross multiply
    85,734.56x = 127,360.13 × 127,360.13
  4. Step 4: Simplify right side
    85,734.56x = 16,220,601,440.02
  5. Step 5: Solve for x
    x = 16,220,601,440.02/85,734.56
  6. Step 6: Final answer
    x = 189,195.59

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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.