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Finding the Third Proportional to 73,640 and 159,042

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Solution

The third proportional to 73,640 and 159,042 is: 343,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,640 : 159,042 = 159,042 : x
  2. Step 2: Convert to fraction form
    73,640/159,042 = 159,042/x
  3. Step 3: Cross multiply
    73,640x = 159,042 × 159,042
  4. Step 4: Simplify right side
    73,640x = 25,294,357,764
  5. Step 5: Solve for x
    x = 25,294,357,764/73,640
  6. Step 6: Final answer
    x = 343,486.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.