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Finding the Third Proportional to 104,073.75 and 155,692.13

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Solution

The third proportional to 104,073.75 and 155,692.13 is: 232,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,073.75 : 155,692.13 = 155,692.13 : x
  2. Step 2: Convert to fraction form
    104,073.75/155,692.13 = 155,692.13/x
  3. Step 3: Cross multiply
    104,073.75x = 155,692.13 × 155,692.13
  4. Step 4: Simplify right side
    104,073.75x = 24,240,037,787.02
  5. Step 5: Solve for x
    x = 24,240,037,787.02/104,073.75
  6. Step 6: Final answer
    x = 232,912.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.