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Finding the Third Proportional to 69,630 and 142,947

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Solution

The third proportional to 69,630 and 142,947 is: 293,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,630 : 142,947 = 142,947 : x
  2. Step 2: Convert to fraction form
    69,630/142,947 = 142,947/x
  3. Step 3: Cross multiply
    69,630x = 142,947 × 142,947
  4. Step 4: Simplify right side
    69,630x = 20,433,844,809
  5. Step 5: Solve for x
    x = 20,433,844,809/69,630
  6. Step 6: Final answer
    x = 293,463.23

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.