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Finding the Third Proportional to 52,653 and 80,545.50

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Solution

The third proportional to 52,653 and 80,545.50 is: 123,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,653 : 80,545.50 = 80,545.50 : x
  2. Step 2: Convert to fraction form
    52,653/80,545.50 = 80,545.50/x
  3. Step 3: Cross multiply
    52,653x = 80,545.50 × 80,545.50
  4. Step 4: Simplify right side
    52,653x = 6,487,577,570.25
  5. Step 5: Solve for x
    x = 6,487,577,570.25/52,653
  6. Step 6: Final answer
    x = 123,213.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.