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Finding the Third Proportional to 103,821.75 and 158,770.13

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Solution

The third proportional to 103,821.75 and 158,770.13 is: 242,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,821.75 : 158,770.13 = 158,770.13 : x
  2. Step 2: Convert to fraction form
    103,821.75/158,770.13 = 158,770.13/x
  3. Step 3: Cross multiply
    103,821.75x = 158,770.13 × 158,770.13
  4. Step 4: Simplify right side
    103,821.75x = 25,207,952,592.52
  5. Step 5: Solve for x
    x = 25,207,952,592.52/103,821.75
  6. Step 6: Final answer
    x = 242,800.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.