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Finding the Third Proportional to 68,032 and 149,088

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Solution

The third proportional to 68,032 and 149,088 is: 326,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032 : 149,088 = 149,088 : x
  2. Step 2: Convert to fraction form
    68,032/149,088 = 149,088/x
  3. Step 3: Cross multiply
    68,032x = 149,088 × 149,088
  4. Step 4: Simplify right side
    68,032x = 22,227,231,744
  5. Step 5: Solve for x
    x = 22,227,231,744/68,032
  6. Step 6: Final answer
    x = 326,717.31

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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.