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Finding the Third Proportional to 103,694 and 151,653

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Solution

The third proportional to 103,694 and 151,653 is: 221,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 151,653 = 151,653 : x
  2. Step 2: Convert to fraction form
    103,694/151,653 = 151,653/x
  3. Step 3: Cross multiply
    103,694x = 151,653 × 151,653
  4. Step 4: Simplify right side
    103,694x = 22,998,632,409
  5. Step 5: Solve for x
    x = 22,998,632,409/103,694
  6. Step 6: Final answer
    x = 221,793.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.