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Finding the Third Proportional to 57,497 and 79,175

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Solution

The third proportional to 57,497 and 79,175 is: 109,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,497 : 79,175 = 79,175 : x
  2. Step 2: Convert to fraction form
    57,497/79,175 = 79,175/x
  3. Step 3: Cross multiply
    57,497x = 79,175 × 79,175
  4. Step 4: Simplify right side
    57,497x = 6,268,680,625
  5. Step 5: Solve for x
    x = 6,268,680,625/57,497
  6. Step 6: Final answer
    x = 109,026.22

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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.