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Finding the Third Proportional to 39,742.31 and 86,955.19

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Solution

The third proportional to 39,742.31 and 86,955.19 is: 190,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,742.31 : 86,955.19 = 86,955.19 : x
  2. Step 2: Convert to fraction form
    39,742.31/86,955.19 = 86,955.19/x
  3. Step 3: Cross multiply
    39,742.31x = 86,955.19 × 86,955.19
  4. Step 4: Simplify right side
    39,742.31x = 7,561,204,633.16
  5. Step 5: Solve for x
    x = 7,561,204,633.16/39,742.31
  6. Step 6: Final answer
    x = 190,255.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.