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Finding the Third Proportional to 71,704.50 and 105,019.50

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Solution

The third proportional to 71,704.50 and 105,019.50 is: 153,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.50 : 105,019.50 = 105,019.50 : x
  2. Step 2: Convert to fraction form
    71,704.50/105,019.50 = 105,019.50/x
  3. Step 3: Cross multiply
    71,704.50x = 105,019.50 × 105,019.50
  4. Step 4: Simplify right side
    71,704.50x = 11,029,095,380.25
  5. Step 5: Solve for x
    x = 11,029,095,380.25/71,704.50
  6. Step 6: Final answer
    x = 153,813.16

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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.