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Finding the Third Proportional to 49,386 and 80,235

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Solution

The third proportional to 49,386 and 80,235 is: 130,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,386 : 80,235 = 80,235 : x
  2. Step 2: Convert to fraction form
    49,386/80,235 = 80,235/x
  3. Step 3: Cross multiply
    49,386x = 80,235 × 80,235
  4. Step 4: Simplify right side
    49,386x = 6,437,655,225
  5. Step 5: Solve for x
    x = 6,437,655,225/49,386
  6. Step 6: Final answer
    x = 130,353.85

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.