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Finding the Third Proportional to 125,123 and 260,601

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Solution

The third proportional to 125,123 and 260,601 is: 542,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,123 : 260,601 = 260,601 : x
  2. Step 2: Convert to fraction form
    125,123/260,601 = 260,601/x
  3. Step 3: Cross multiply
    125,123x = 260,601 × 260,601
  4. Step 4: Simplify right side
    125,123x = 67,912,881,201
  5. Step 5: Solve for x
    x = 67,912,881,201/125,123
  6. Step 6: Final answer
    x = 542,768.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.