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Finding the Third Proportional to 70,364 and 143,593

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Solution

The third proportional to 70,364 and 143,593 is: 293,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,364 : 143,593 = 143,593 : x
  2. Step 2: Convert to fraction form
    70,364/143,593 = 143,593/x
  3. Step 3: Cross multiply
    70,364x = 143,593 × 143,593
  4. Step 4: Simplify right side
    70,364x = 20,618,949,649
  5. Step 5: Solve for x
    x = 20,618,949,649/70,364
  6. Step 6: Final answer
    x = 293,032.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.