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Finding the Third Proportional to 106,593 and 156,433.50

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Solution

The third proportional to 106,593 and 156,433.50 is: 229,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,593 : 156,433.50 = 156,433.50 : x
  2. Step 2: Convert to fraction form
    106,593/156,433.50 = 156,433.50/x
  3. Step 3: Cross multiply
    106,593x = 156,433.50 × 156,433.50
  4. Step 4: Simplify right side
    106,593x = 24,471,439,922.25
  5. Step 5: Solve for x
    x = 24,471,439,922.25/106,593
  6. Step 6: Final answer
    x = 229,578.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.