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Finding the Third Proportional to 68,540.63 and 158,662.13

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Solution

The third proportional to 68,540.63 and 158,662.13 is: 367,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,540.63 : 158,662.13 = 158,662.13 : x
  2. Step 2: Convert to fraction form
    68,540.63/158,662.13 = 158,662.13/x
  3. Step 3: Cross multiply
    68,540.63x = 158,662.13 × 158,662.13
  4. Step 4: Simplify right side
    68,540.63x = 25,173,669,909.52
  5. Step 5: Solve for x
    x = 25,173,669,909.52/68,540.63
  6. Step 6: Final answer
    x = 367,281.01

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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.