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Finding the Third Proportional to 85,236.19 and 127,854.56

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Solution

The third proportional to 85,236.19 and 127,854.56 is: 191,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,236.19 : 127,854.56 = 127,854.56 : x
  2. Step 2: Convert to fraction form
    85,236.19/127,854.56 = 127,854.56/x
  3. Step 3: Cross multiply
    85,236.19x = 127,854.56 × 127,854.56
  4. Step 4: Simplify right side
    85,236.19x = 16,346,789,152.07
  5. Step 5: Solve for x
    x = 16,346,789,152.07/85,236.19
  6. Step 6: Final answer
    x = 191,782.27

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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.