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Finding the Third Proportional to 68,024.18 and 158,847.33

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Solution

The third proportional to 68,024.18 and 158,847.33 is: 370,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024.18 : 158,847.33 = 158,847.33 : x
  2. Step 2: Convert to fraction form
    68,024.18/158,847.33 = 158,847.33/x
  3. Step 3: Cross multiply
    68,024.18x = 158,847.33 × 158,847.33
  4. Step 4: Simplify right side
    68,024.18x = 25,232,473,652.45
  5. Step 5: Solve for x
    x = 25,232,473,652.45/68,024.18
  6. Step 6: Final answer
    x = 370,933.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.