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Finding the Third Proportional to 68,188.08 and 144,995.06

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Solution

The third proportional to 68,188.08 and 144,995.06 is: 308,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,188.08 : 144,995.06 = 144,995.06 : x
  2. Step 2: Convert to fraction form
    68,188.08/144,995.06 = 144,995.06/x
  3. Step 3: Cross multiply
    68,188.08x = 144,995.06 × 144,995.06
  4. Step 4: Simplify right side
    68,188.08x = 21,023,568,149.38
  5. Step 5: Solve for x
    x = 21,023,568,149.38/68,188.08
  6. Step 6: Final answer
    x = 308,317.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.