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Finding the Third Proportional to 125,000 and 275,014

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Solution

The third proportional to 125,000 and 275,014 is: 605,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,000 : 275,014 = 275,014 : x
  2. Step 2: Convert to fraction form
    125,000/275,014 = 275,014/x
  3. Step 3: Cross multiply
    125,000x = 275,014 × 275,014
  4. Step 4: Simplify right side
    125,000x = 75,632,700,196
  5. Step 5: Solve for x
    x = 75,632,700,196/125,000
  6. Step 6: Final answer
    x = 605,061.60

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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.