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Finding the Third Proportional to 73,568 and 157,504

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Solution

The third proportional to 73,568 and 157,504 is: 337,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,568 : 157,504 = 157,504 : x
  2. Step 2: Convert to fraction form
    73,568/157,504 = 157,504/x
  3. Step 3: Cross multiply
    73,568x = 157,504 × 157,504
  4. Step 4: Simplify right side
    73,568x = 24,807,510,016
  5. Step 5: Solve for x
    x = 24,807,510,016/73,568
  6. Step 6: Final answer
    x = 337,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.