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Finding the Third Proportional to 40,675.31 and 83,332.50

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Solution

The third proportional to 40,675.31 and 83,332.50 is: 170,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,675.31 : 83,332.50 = 83,332.50 : x
  2. Step 2: Convert to fraction form
    40,675.31/83,332.50 = 83,332.50/x
  3. Step 3: Cross multiply
    40,675.31x = 83,332.50 × 83,332.50
  4. Step 4: Simplify right side
    40,675.31x = 6,944,305,556.25
  5. Step 5: Solve for x
    x = 6,944,305,556.25/40,675.31
  6. Step 6: Final answer
    x = 170,725.32

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.