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Finding the Third Proportional to 73,186 and 159,759

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Solution

The third proportional to 73,186 and 159,759 is: 348,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,186 : 159,759 = 159,759 : x
  2. Step 2: Convert to fraction form
    73,186/159,759 = 159,759/x
  3. Step 3: Cross multiply
    73,186x = 159,759 × 159,759
  4. Step 4: Simplify right side
    73,186x = 25,522,938,081
  5. Step 5: Solve for x
    x = 25,522,938,081/73,186
  6. Step 6: Final answer
    x = 348,740.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.