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Finding the Third Proportional to 105,856.88 and 158,770.13

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Solution

The third proportional to 105,856.88 and 158,770.13 is: 238,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,856.88 : 158,770.13 = 158,770.13 : x
  2. Step 2: Convert to fraction form
    105,856.88/158,770.13 = 158,770.13/x
  3. Step 3: Cross multiply
    105,856.88x = 158,770.13 × 158,770.13
  4. Step 4: Simplify right side
    105,856.88x = 25,207,952,592.52
  5. Step 5: Solve for x
    x = 25,207,952,592.52/105,856.88
  6. Step 6: Final answer
    x = 238,132.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.