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Finding the Third Proportional to 125,149.50 and 266,910.75

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Solution

The third proportional to 125,149.50 and 266,910.75 is: 569,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,149.50 : 266,910.75 = 266,910.75 : x
  2. Step 2: Convert to fraction form
    125,149.50/266,910.75 = 266,910.75/x
  3. Step 3: Cross multiply
    125,149.50x = 266,910.75 × 266,910.75
  4. Step 4: Simplify right side
    125,149.50x = 71,241,348,465.56
  5. Step 5: Solve for x
    x = 71,241,348,465.56/125,149.50
  6. Step 6: Final answer
    x = 569,249.96

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