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Finding the Third Proportional to 45,529 and 92,864.50

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Solution

The third proportional to 45,529 and 92,864.50 is: 189,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,529 : 92,864.50 = 92,864.50 : x
  2. Step 2: Convert to fraction form
    45,529/92,864.50 = 92,864.50/x
  3. Step 3: Cross multiply
    45,529x = 92,864.50 × 92,864.50
  4. Step 4: Simplify right side
    45,529x = 8,623,815,360.25
  5. Step 5: Solve for x
    x = 8,623,815,360.25/45,529
  6. Step 6: Final answer
    x = 189,413.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.