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Finding the Third Proportional to 57,158 and 124,142

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Solution

The third proportional to 57,158 and 124,142 is: 269,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,158 : 124,142 = 124,142 : x
  2. Step 2: Convert to fraction form
    57,158/124,142 = 124,142/x
  3. Step 3: Cross multiply
    57,158x = 124,142 × 124,142
  4. Step 4: Simplify right side
    57,158x = 15,411,236,164
  5. Step 5: Solve for x
    x = 15,411,236,164/57,158
  6. Step 6: Final answer
    x = 269,625.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.