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Finding the Third Proportional to 57,313 and 122,007

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Solution

The third proportional to 57,313 and 122,007 is: 259,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,313 : 122,007 = 122,007 : x
  2. Step 2: Convert to fraction form
    57,313/122,007 = 122,007/x
  3. Step 3: Cross multiply
    57,313x = 122,007 × 122,007
  4. Step 4: Simplify right side
    57,313x = 14,885,708,049
  5. Step 5: Solve for x
    x = 14,885,708,049/57,313
  6. Step 6: Final answer
    x = 259,726.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.