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Finding the Third Proportional to 70,079 and 157,701

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Solution

The third proportional to 70,079 and 157,701 is: 354,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,079 : 157,701 = 157,701 : x
  2. Step 2: Convert to fraction form
    70,079/157,701 = 157,701/x
  3. Step 3: Cross multiply
    70,079x = 157,701 × 157,701
  4. Step 4: Simplify right side
    70,079x = 24,869,605,401
  5. Step 5: Solve for x
    x = 24,869,605,401/70,079
  6. Step 6: Final answer
    x = 354,879.57

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.