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Finding the Third Proportional to 69,858 and 142,944

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Solution

The third proportional to 69,858 and 142,944 is: 292,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,858 : 142,944 = 142,944 : x
  2. Step 2: Convert to fraction form
    69,858/142,944 = 142,944/x
  3. Step 3: Cross multiply
    69,858x = 142,944 × 142,944
  4. Step 4: Simplify right side
    69,858x = 20,432,987,136
  5. Step 5: Solve for x
    x = 20,432,987,136/69,858
  6. Step 6: Final answer
    x = 292,493.16

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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.