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Finding the Third Proportional to 60,529 and 100,033.50

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Solution

The third proportional to 60,529 and 100,033.50 is: 165,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,529 : 100,033.50 = 100,033.50 : x
  2. Step 2: Convert to fraction form
    60,529/100,033.50 = 100,033.50/x
  3. Step 3: Cross multiply
    60,529x = 100,033.50 × 100,033.50
  4. Step 4: Simplify right side
    60,529x = 10,006,701,122.25
  5. Step 5: Solve for x
    x = 10,006,701,122.25/60,529
  6. Step 6: Final answer
    x = 165,320.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.