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Finding the Third Proportional to 70,682 and 154,732

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Solution

The third proportional to 70,682 and 154,732 is: 338,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682 : 154,732 = 154,732 : x
  2. Step 2: Convert to fraction form
    70,682/154,732 = 154,732/x
  3. Step 3: Cross multiply
    70,682x = 154,732 × 154,732
  4. Step 4: Simplify right side
    70,682x = 23,941,991,824
  5. Step 5: Solve for x
    x = 23,941,991,824/70,682
  6. Step 6: Final answer
    x = 338,728.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.