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Finding the Third Proportional to 70,772 and 141,544

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Solution

The third proportional to 70,772 and 141,544 is: 283,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,772 : 141,544 = 141,544 : x
  2. Step 2: Convert to fraction form
    70,772/141,544 = 141,544/x
  3. Step 3: Cross multiply
    70,772x = 141,544 × 141,544
  4. Step 4: Simplify right side
    70,772x = 20,034,703,936
  5. Step 5: Solve for x
    x = 20,034,703,936/70,772
  6. Step 6: Final answer
    x = 283,088

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.