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Finding the Third Proportional to 50,701 and 67,285.50

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Solution

The third proportional to 50,701 and 67,285.50 is: 89,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,701 : 67,285.50 = 67,285.50 : x
  2. Step 2: Convert to fraction form
    50,701/67,285.50 = 67,285.50/x
  3. Step 3: Cross multiply
    50,701x = 67,285.50 × 67,285.50
  4. Step 4: Simplify right side
    50,701x = 4,527,338,510.25
  5. Step 5: Solve for x
    x = 4,527,338,510.25/50,701
  6. Step 6: Final answer
    x = 89,294.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.