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Finding the Third Proportional to 69,949 and 151,066

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Solution

The third proportional to 69,949 and 151,066 is: 326,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,949 : 151,066 = 151,066 : x
  2. Step 2: Convert to fraction form
    69,949/151,066 = 151,066/x
  3. Step 3: Cross multiply
    69,949x = 151,066 × 151,066
  4. Step 4: Simplify right side
    69,949x = 22,820,936,356
  5. Step 5: Solve for x
    x = 22,820,936,356/69,949
  6. Step 6: Final answer
    x = 326,251.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.