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Finding the Third Proportional to 83,949 and 116,352.75

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Solution

The third proportional to 83,949 and 116,352.75 is: 161,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,949 : 116,352.75 = 116,352.75 : x
  2. Step 2: Convert to fraction form
    83,949/116,352.75 = 116,352.75/x
  3. Step 3: Cross multiply
    83,949x = 116,352.75 × 116,352.75
  4. Step 4: Simplify right side
    83,949x = 13,537,962,432.56
  5. Step 5: Solve for x
    x = 13,537,962,432.56/83,949
  6. Step 6: Final answer
    x = 161,264.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.