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Finding the Third Proportional to 83,932 and 124,313

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Solution

The third proportional to 83,932 and 124,313 is: 184,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,932 : 124,313 = 124,313 : x
  2. Step 2: Convert to fraction form
    83,932/124,313 = 124,313/x
  3. Step 3: Cross multiply
    83,932x = 124,313 × 124,313
  4. Step 4: Simplify right side
    83,932x = 15,453,721,969
  5. Step 5: Solve for x
    x = 15,453,721,969/83,932
  6. Step 6: Final answer
    x = 184,121.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.