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Finding the Third Proportional to 74,772 and 110,016

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Solution

The third proportional to 74,772 and 110,016 is: 161,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,772 : 110,016 = 110,016 : x
  2. Step 2: Convert to fraction form
    74,772/110,016 = 110,016/x
  3. Step 3: Cross multiply
    74,772x = 110,016 × 110,016
  4. Step 4: Simplify right side
    74,772x = 12,103,520,256
  5. Step 5: Solve for x
    x = 12,103,520,256/74,772
  6. Step 6: Final answer
    x = 161,872.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.