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Finding the Third Proportional to 68,046.75 and 148,142.25

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Solution

The third proportional to 68,046.75 and 148,142.25 is: 322,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046.75 : 148,142.25 = 148,142.25 : x
  2. Step 2: Convert to fraction form
    68,046.75/148,142.25 = 148,142.25/x
  3. Step 3: Cross multiply
    68,046.75x = 148,142.25 × 148,142.25
  4. Step 4: Simplify right side
    68,046.75x = 21,946,126,235.06
  5. Step 5: Solve for x
    x = 21,946,126,235.06/68,046.75
  6. Step 6: Final answer
    x = 322,515.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.