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Finding the Third Proportional to 68,533.59 and 158,644.83

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Solution

The third proportional to 68,533.59 and 158,644.83 is: 367,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,533.59 : 158,644.83 = 158,644.83 : x
  2. Step 2: Convert to fraction form
    68,533.59/158,644.83 = 158,644.83/x
  3. Step 3: Cross multiply
    68,533.59x = 158,644.83 × 158,644.83
  4. Step 4: Simplify right side
    68,533.59x = 25,168,181,490.81
  5. Step 5: Solve for x
    x = 25,168,181,490.81/68,533.59
  6. Step 6: Final answer
    x = 367,238.61

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.