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Finding the Third Proportional to 121,932 and 185,058

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Solution

The third proportional to 121,932 and 185,058 is: 280,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,932 : 185,058 = 185,058 : x
  2. Step 2: Convert to fraction form
    121,932/185,058 = 185,058/x
  3. Step 3: Cross multiply
    121,932x = 185,058 × 185,058
  4. Step 4: Simplify right side
    121,932x = 34,246,463,364
  5. Step 5: Solve for x
    x = 34,246,463,364/121,932
  6. Step 6: Final answer
    x = 280,865.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.