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Finding the Third Proportional to 68,016 and 149,160

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Solution

The third proportional to 68,016 and 149,160 is: 327,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,016 : 149,160 = 149,160 : x
  2. Step 2: Convert to fraction form
    68,016/149,160 = 149,160/x
  3. Step 3: Cross multiply
    68,016x = 149,160 × 149,160
  4. Step 4: Simplify right side
    68,016x = 22,248,705,600
  5. Step 5: Solve for x
    x = 22,248,705,600/68,016
  6. Step 6: Final answer
    x = 327,109.88

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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.