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Finding the Third Proportional to 106,944 and 160,032

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Solution

The third proportional to 106,944 and 160,032 is: 239,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944 : 160,032 = 160,032 : x
  2. Step 2: Convert to fraction form
    106,944/160,032 = 160,032/x
  3. Step 3: Cross multiply
    106,944x = 160,032 × 160,032
  4. Step 4: Simplify right side
    106,944x = 25,610,241,024
  5. Step 5: Solve for x
    x = 25,610,241,024/106,944
  6. Step 6: Final answer
    x = 239,473.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.