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Finding the Third Proportional to 125,451 and 275,807.25

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Solution

The third proportional to 125,451 and 275,807.25 is: 606,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,451 : 275,807.25 = 275,807.25 : x
  2. Step 2: Convert to fraction form
    125,451/275,807.25 = 275,807.25/x
  3. Step 3: Cross multiply
    125,451x = 275,807.25 × 275,807.25
  4. Step 4: Simplify right side
    125,451x = 76,069,639,152.56
  5. Step 5: Solve for x
    x = 76,069,639,152.56/125,451
  6. Step 6: Final answer
    x = 606,369.33

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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.