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Finding the Third Proportional to 62,611 and 135,837.50

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Solution

The third proportional to 62,611 and 135,837.50 is: 294,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,611 : 135,837.50 = 135,837.50 : x
  2. Step 2: Convert to fraction form
    62,611/135,837.50 = 135,837.50/x
  3. Step 3: Cross multiply
    62,611x = 135,837.50 × 135,837.50
  4. Step 4: Simplify right side
    62,611x = 18,451,826,406.25
  5. Step 5: Solve for x
    x = 18,451,826,406.25/62,611
  6. Step 6: Final answer
    x = 294,705.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.