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Finding the Third Proportional to 70,814 and 154,510

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Solution

The third proportional to 70,814 and 154,510 is: 337,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814 : 154,510 = 154,510 : x
  2. Step 2: Convert to fraction form
    70,814/154,510 = 154,510/x
  3. Step 3: Cross multiply
    70,814x = 154,510 × 154,510
  4. Step 4: Simplify right side
    70,814x = 23,873,340,100
  5. Step 5: Solve for x
    x = 23,873,340,100/70,814
  6. Step 6: Final answer
    x = 337,127.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.