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Finding the Third Proportional to 74,016 and 161,664

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Solution

The third proportional to 74,016 and 161,664 is: 353,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016 : 161,664 = 161,664 : x
  2. Step 2: Convert to fraction form
    74,016/161,664 = 161,664/x
  3. Step 3: Cross multiply
    74,016x = 161,664 × 161,664
  4. Step 4: Simplify right side
    74,016x = 26,135,248,896
  5. Step 5: Solve for x
    x = 26,135,248,896/74,016
  6. Step 6: Final answer
    x = 353,102.69

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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.