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Finding the Third Proportional to 57,499 and 79,177

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Solution

The third proportional to 57,499 and 79,177 is: 109,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,499 : 79,177 = 79,177 : x
  2. Step 2: Convert to fraction form
    57,499/79,177 = 79,177/x
  3. Step 3: Cross multiply
    57,499x = 79,177 × 79,177
  4. Step 4: Simplify right side
    57,499x = 6,268,997,329
  5. Step 5: Solve for x
    x = 6,268,997,329/57,499
  6. Step 6: Final answer
    x = 109,027.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.