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Finding the Third Proportional to 70,369 and 143,604

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Solution

The third proportional to 70,369 and 143,604 is: 293,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,369 : 143,604 = 143,604 : x
  2. Step 2: Convert to fraction form
    70,369/143,604 = 143,604/x
  3. Step 3: Cross multiply
    70,369x = 143,604 × 143,604
  4. Step 4: Simplify right side
    70,369x = 20,622,108,816
  5. Step 5: Solve for x
    x = 20,622,108,816/70,369
  6. Step 6: Final answer
    x = 293,056.73

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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.