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Finding the Third Proportional to 37,135.02 and 80,188.10

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Solution

The third proportional to 37,135.02 and 80,188.10 is: 173,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,135.02 : 80,188.10 = 80,188.10 : x
  2. Step 2: Convert to fraction form
    37,135.02/80,188.10 = 80,188.10/x
  3. Step 3: Cross multiply
    37,135.02x = 80,188.10 × 80,188.10
  4. Step 4: Simplify right side
    37,135.02x = 6,430,131,632.20
  5. Step 5: Solve for x
    x = 6,430,131,632.20/37,135.02
  6. Step 6: Final answer
    x = 173,155.47

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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.