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Finding the Third Proportional to 57,909 and 124,953

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Solution

The third proportional to 57,909 and 124,953 is: 269,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,909 : 124,953 = 124,953 : x
  2. Step 2: Convert to fraction form
    57,909/124,953 = 124,953/x
  3. Step 3: Cross multiply
    57,909x = 124,953 × 124,953
  4. Step 4: Simplify right side
    57,909x = 15,613,252,209
  5. Step 5: Solve for x
    x = 15,613,252,209/57,909
  6. Step 6: Final answer
    x = 269,617.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.