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Finding the Third Proportional to 71,694 and 105,005.25

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Solution

The third proportional to 71,694 and 105,005.25 is: 153,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694 : 105,005.25 = 105,005.25 : x
  2. Step 2: Convert to fraction form
    71,694/105,005.25 = 105,005.25/x
  3. Step 3: Cross multiply
    71,694x = 105,005.25 × 105,005.25
  4. Step 4: Simplify right side
    71,694x = 11,026,102,527.56
  5. Step 5: Solve for x
    x = 11,026,102,527.56/71,694
  6. Step 6: Final answer
    x = 153,793.94

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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.