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Finding the Third Proportional to 68,199.75 and 148,204.13

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Solution

The third proportional to 68,199.75 and 148,204.13 is: 322,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,199.75 : 148,204.13 = 148,204.13 : x
  2. Step 2: Convert to fraction form
    68,199.75/148,204.13 = 148,204.13/x
  3. Step 3: Cross multiply
    68,199.75x = 148,204.13 × 148,204.13
  4. Step 4: Simplify right side
    68,199.75x = 21,964,462,667.02
  5. Step 5: Solve for x
    x = 21,964,462,667.02/68,199.75
  6. Step 6: Final answer
    x = 322,060.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.