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Finding the Third Proportional to 40,392 and 87,169.50

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Solution

The third proportional to 40,392 and 87,169.50 is: 188,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,392 : 87,169.50 = 87,169.50 : x
  2. Step 2: Convert to fraction form
    40,392/87,169.50 = 87,169.50/x
  3. Step 3: Cross multiply
    40,392x = 87,169.50 × 87,169.50
  4. Step 4: Simplify right side
    40,392x = 7,598,521,730.25
  5. Step 5: Solve for x
    x = 7,598,521,730.25/40,392
  6. Step 6: Final answer
    x = 188,119.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.