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Finding the Third Proportional to 83,502.75 and 175,211.25

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Solution

The third proportional to 83,502.75 and 175,211.25 is: 367,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.75 : 175,211.25 = 175,211.25 : x
  2. Step 2: Convert to fraction form
    83,502.75/175,211.25 = 175,211.25/x
  3. Step 3: Cross multiply
    83,502.75x = 175,211.25 × 175,211.25
  4. Step 4: Simplify right side
    83,502.75x = 30,698,982,126.56
  5. Step 5: Solve for x
    x = 30,698,982,126.56/83,502.75
  6. Step 6: Final answer
    x = 367,640.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.