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Finding the Third Proportional to 125,019 and 277,065

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Solution

The third proportional to 125,019 and 277,065 is: 614,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,019 : 277,065 = 277,065 : x
  2. Step 2: Convert to fraction form
    125,019/277,065 = 277,065/x
  3. Step 3: Cross multiply
    125,019x = 277,065 × 277,065
  4. Step 4: Simplify right side
    125,019x = 76,765,014,225
  5. Step 5: Solve for x
    x = 76,765,014,225/125,019
  6. Step 6: Final answer
    x = 614,026.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.