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Finding the Third Proportional to 80,050 and 187,002

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Solution

The third proportional to 80,050 and 187,002 is: 436,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,050 : 187,002 = 187,002 : x
  2. Step 2: Convert to fraction form
    80,050/187,002 = 187,002/x
  3. Step 3: Cross multiply
    80,050x = 187,002 × 187,002
  4. Step 4: Simplify right side
    80,050x = 34,969,748,004
  5. Step 5: Solve for x
    x = 34,969,748,004/80,050
  6. Step 6: Final answer
    x = 436,848.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.