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Finding the Third Proportional to 54,860 and 83,058

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Solution

The third proportional to 54,860 and 83,058 is: 125,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,860 : 83,058 = 83,058 : x
  2. Step 2: Convert to fraction form
    54,860/83,058 = 83,058/x
  3. Step 3: Cross multiply
    54,860x = 83,058 × 83,058
  4. Step 4: Simplify right side
    54,860x = 6,898,631,364
  5. Step 5: Solve for x
    x = 6,898,631,364/54,860
  6. Step 6: Final answer
    x = 125,749.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.