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Finding the Third Proportional to 103,694 and 146,852

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Solution

The third proportional to 103,694 and 146,852 is: 207,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 146,852 = 146,852 : x
  2. Step 2: Convert to fraction form
    103,694/146,852 = 146,852/x
  3. Step 3: Cross multiply
    103,694x = 146,852 × 146,852
  4. Step 4: Simplify right side
    103,694x = 21,565,509,904
  5. Step 5: Solve for x
    x = 21,565,509,904/103,694
  6. Step 6: Final answer
    x = 207,972.59

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.