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Finding the Third Proportional to 68,148 and 149,007

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Solution

The third proportional to 68,148 and 149,007 is: 325,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148 : 149,007 = 149,007 : x
  2. Step 2: Convert to fraction form
    68,148/149,007 = 149,007/x
  3. Step 3: Cross multiply
    68,148x = 149,007 × 149,007
  4. Step 4: Simplify right side
    68,148x = 22,203,086,049
  5. Step 5: Solve for x
    x = 22,203,086,049/68,148
  6. Step 6: Final answer
    x = 325,806.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.