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Finding the Third Proportional to 73,636 and 159,040

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Solution

The third proportional to 73,636 and 159,040 is: 343,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,636 : 159,040 = 159,040 : x
  2. Step 2: Convert to fraction form
    73,636/159,040 = 159,040/x
  3. Step 3: Cross multiply
    73,636x = 159,040 × 159,040
  4. Step 4: Simplify right side
    73,636x = 25,293,721,600
  5. Step 5: Solve for x
    x = 25,293,721,600/73,636
  6. Step 6: Final answer
    x = 343,496.68

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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.