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Finding the Third Proportional to 83,470.50 and 173,853

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Solution

The third proportional to 83,470.50 and 173,853 is: 362,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.50 : 173,853 = 173,853 : x
  2. Step 2: Convert to fraction form
    83,470.50/173,853 = 173,853/x
  3. Step 3: Cross multiply
    83,470.50x = 173,853 × 173,853
  4. Step 4: Simplify right side
    83,470.50x = 30,224,865,609
  5. Step 5: Solve for x
    x = 30,224,865,609/83,470.50
  6. Step 6: Final answer
    x = 362,102.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.