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Finding the Third Proportional to 70,827 and 154,533

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Solution

The third proportional to 70,827 and 154,533 is: 337,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827 : 154,533 = 154,533 : x
  2. Step 2: Convert to fraction form
    70,827/154,533 = 154,533/x
  3. Step 3: Cross multiply
    70,827x = 154,533 × 154,533
  4. Step 4: Simplify right side
    70,827x = 23,880,448,089
  5. Step 5: Solve for x
    x = 23,880,448,089/70,827
  6. Step 6: Final answer
    x = 337,165.88

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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.