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Finding the Third Proportional to 69,947 and 151,062

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Solution

The third proportional to 69,947 and 151,062 is: 326,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,947 : 151,062 = 151,062 : x
  2. Step 2: Convert to fraction form
    69,947/151,062 = 151,062/x
  3. Step 3: Cross multiply
    69,947x = 151,062 × 151,062
  4. Step 4: Simplify right side
    69,947x = 22,819,727,844
  5. Step 5: Solve for x
    x = 22,819,727,844/69,947
  6. Step 6: Final answer
    x = 326,243.12

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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.