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Finding the Third Proportional to 73,632 and 159,738

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Solution

The third proportional to 73,632 and 159,738 is: 346,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,632 : 159,738 = 159,738 : x
  2. Step 2: Convert to fraction form
    73,632/159,738 = 159,738/x
  3. Step 3: Cross multiply
    73,632x = 159,738 × 159,738
  4. Step 4: Simplify right side
    73,632x = 25,516,228,644
  5. Step 5: Solve for x
    x = 25,516,228,644/73,632
  6. Step 6: Final answer
    x = 346,537.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.