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Finding the Third Proportional to 125,353.50 and 275,511

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Solution

The third proportional to 125,353.50 and 275,511 is: 605,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,353.50 : 275,511 = 275,511 : x
  2. Step 2: Convert to fraction form
    125,353.50/275,511 = 275,511/x
  3. Step 3: Cross multiply
    125,353.50x = 275,511 × 275,511
  4. Step 4: Simplify right side
    125,353.50x = 75,906,311,121
  5. Step 5: Solve for x
    x = 75,906,311,121/125,353.50
  6. Step 6: Final answer
    x = 605,538.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.