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Finding the Third Proportional to 69,341 and 141,967

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Solution

The third proportional to 69,341 and 141,967 is: 290,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,341 : 141,967 = 141,967 : x
  2. Step 2: Convert to fraction form
    69,341/141,967 = 141,967/x
  3. Step 3: Cross multiply
    69,341x = 141,967 × 141,967
  4. Step 4: Simplify right side
    69,341x = 20,154,629,089
  5. Step 5: Solve for x
    x = 20,154,629,089/69,341
  6. Step 6: Final answer
    x = 290,659.63

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Why These Related Problems?

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