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Finding the Third Proportional to 117,600.75 and 158,017.50

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Solution

The third proportional to 117,600.75 and 158,017.50 is: 212,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600.75 : 158,017.50 = 158,017.50 : x
  2. Step 2: Convert to fraction form
    117,600.75/158,017.50 = 158,017.50/x
  3. Step 3: Cross multiply
    117,600.75x = 158,017.50 × 158,017.50
  4. Step 4: Simplify right side
    117,600.75x = 24,969,530,306.25
  5. Step 5: Solve for x
    x = 24,969,530,306.25/117,600.75
  6. Step 6: Final answer
    x = 212,324.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.