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Finding the Third Proportional to 57,464 and 121,885

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Solution

The third proportional to 57,464 and 121,885 is: 258,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,464 : 121,885 = 121,885 : x
  2. Step 2: Convert to fraction form
    57,464/121,885 = 121,885/x
  3. Step 3: Cross multiply
    57,464x = 121,885 × 121,885
  4. Step 4: Simplify right side
    57,464x = 14,855,953,225
  5. Step 5: Solve for x
    x = 14,855,953,225/57,464
  6. Step 6: Final answer
    x = 258,526.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.