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Finding the Third Proportional to 125,525 and 263,983

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Solution

The third proportional to 125,525 and 263,983 is: 555,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,525 : 263,983 = 263,983 : x
  2. Step 2: Convert to fraction form
    125,525/263,983 = 263,983/x
  3. Step 3: Cross multiply
    125,525x = 263,983 × 263,983
  4. Step 4: Simplify right side
    125,525x = 69,687,024,289
  5. Step 5: Solve for x
    x = 69,687,024,289/125,525
  6. Step 6: Final answer
    x = 555,164.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.