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Finding the Third Proportional to 125,067 and 266,536.50

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Solution

The third proportional to 125,067 and 266,536.50 is: 568,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,067 : 266,536.50 = 266,536.50 : x
  2. Step 2: Convert to fraction form
    125,067/266,536.50 = 266,536.50/x
  3. Step 3: Cross multiply
    125,067x = 266,536.50 × 266,536.50
  4. Step 4: Simplify right side
    125,067x = 71,041,705,832.25
  5. Step 5: Solve for x
    x = 71,041,705,832.25/125,067
  6. Step 6: Final answer
    x = 568,029.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.