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Finding the Third Proportional to 37,386 and 80,253

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Solution

The third proportional to 37,386 and 80,253 is: 172,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386 : 80,253 = 80,253 : x
  2. Step 2: Convert to fraction form
    37,386/80,253 = 80,253/x
  3. Step 3: Cross multiply
    37,386x = 80,253 × 80,253
  4. Step 4: Simplify right side
    37,386x = 6,440,544,009
  5. Step 5: Solve for x
    x = 6,440,544,009/37,386
  6. Step 6: Final answer
    x = 172,271.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.