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Finding the Third Proportional to 39,878.58 and 87,138.28

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Solution

The third proportional to 39,878.58 and 87,138.28 is: 190,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.58 : 87,138.28 = 87,138.28 : x
  2. Step 2: Convert to fraction form
    39,878.58/87,138.28 = 87,138.28/x
  3. Step 3: Cross multiply
    39,878.58x = 87,138.28 × 87,138.28
  4. Step 4: Simplify right side
    39,878.58x = 7,593,080,059.20
  5. Step 5: Solve for x
    x = 7,593,080,059.20/39,878.58
  6. Step 6: Final answer
    x = 190,404.98

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