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Finding the Third Proportional to 39,164.75 and 72,041.75

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Solution

The third proportional to 39,164.75 and 72,041.75 is: 132,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,164.75 : 72,041.75 = 72,041.75 : x
  2. Step 2: Convert to fraction form
    39,164.75/72,041.75 = 72,041.75/x
  3. Step 3: Cross multiply
    39,164.75x = 72,041.75 × 72,041.75
  4. Step 4: Simplify right side
    39,164.75x = 5,190,013,743.06
  5. Step 5: Solve for x
    x = 5,190,013,743.06/39,164.75
  6. Step 6: Final answer
    x = 132,517.47

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.