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Finding the Third Proportional to 57,505 and 79,186

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Solution

The third proportional to 57,505 and 79,186 is: 109,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,505 : 79,186 = 79,186 : x
  2. Step 2: Convert to fraction form
    57,505/79,186 = 79,186/x
  3. Step 3: Cross multiply
    57,505x = 79,186 × 79,186
  4. Step 4: Simplify right side
    57,505x = 6,270,422,596
  5. Step 5: Solve for x
    x = 6,270,422,596/57,505
  6. Step 6: Final answer
    x = 109,041.35

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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.