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Finding the Third Proportional to 37,126 and 80,090

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Solution

The third proportional to 37,126 and 80,090 is: 172,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,126 : 80,090 = 80,090 : x
  2. Step 2: Convert to fraction form
    37,126/80,090 = 80,090/x
  3. Step 3: Cross multiply
    37,126x = 80,090 × 80,090
  4. Step 4: Simplify right side
    37,126x = 6,414,408,100
  5. Step 5: Solve for x
    x = 6,414,408,100/37,126
  6. Step 6: Final answer
    x = 172,774.02

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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.