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Finding the Third Proportional to 67,271.50 and 152,019

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Solution

The third proportional to 67,271.50 and 152,019 is: 343,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,271.50 : 152,019 = 152,019 : x
  2. Step 2: Convert to fraction form
    67,271.50/152,019 = 152,019/x
  3. Step 3: Cross multiply
    67,271.50x = 152,019 × 152,019
  4. Step 4: Simplify right side
    67,271.50x = 23,109,776,361
  5. Step 5: Solve for x
    x = 23,109,776,361/67,271.50
  6. Step 6: Final answer
    x = 343,529.97

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.