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Finding the Third Proportional to 39,031.88 and 76,119.75

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Solution

The third proportional to 39,031.88 and 76,119.75 is: 148,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,031.88 : 76,119.75 = 76,119.75 : x
  2. Step 2: Convert to fraction form
    39,031.88/76,119.75 = 76,119.75/x
  3. Step 3: Cross multiply
    39,031.88x = 76,119.75 × 76,119.75
  4. Step 4: Simplify right side
    39,031.88x = 5,794,216,340.06
  5. Step 5: Solve for x
    x = 5,794,216,340.06/39,031.88
  6. Step 6: Final answer
    x = 148,448.32

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.