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Finding the Third Proportional to 70,721 and 154,066

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Solution

The third proportional to 70,721 and 154,066 is: 335,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,721 : 154,066 = 154,066 : x
  2. Step 2: Convert to fraction form
    70,721/154,066 = 154,066/x
  3. Step 3: Cross multiply
    70,721x = 154,066 × 154,066
  4. Step 4: Simplify right side
    70,721x = 23,736,332,356
  5. Step 5: Solve for x
    x = 23,736,332,356/70,721
  6. Step 6: Final answer
    x = 335,633.44

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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.