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Finding the Third Proportional to 67,625.30 and 105,532.17

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Solution

The third proportional to 67,625.30 and 105,532.17 is: 164,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,625.30 : 105,532.17 = 105,532.17 : x
  2. Step 2: Convert to fraction form
    67,625.30/105,532.17 = 105,532.17/x
  3. Step 3: Cross multiply
    67,625.30x = 105,532.17 × 105,532.17
  4. Step 4: Simplify right side
    67,625.30x = 11,137,039,300.65
  5. Step 5: Solve for x
    x = 11,137,039,300.65/67,625.30
  6. Step 6: Final answer
    x = 164,687.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.