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Finding the Third Proportional to 125,522 and 275,923

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Solution

The third proportional to 125,522 and 275,923 is: 606,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,522 : 275,923 = 275,923 : x
  2. Step 2: Convert to fraction form
    125,522/275,923 = 275,923/x
  3. Step 3: Cross multiply
    125,522x = 275,923 × 275,923
  4. Step 4: Simplify right side
    125,522x = 76,133,501,929
  5. Step 5: Solve for x
    x = 76,133,501,929/125,522
  6. Step 6: Final answer
    x = 606,535.12

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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.