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Finding the Third Proportional to 124,615 and 266,949

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Solution

The third proportional to 124,615 and 266,949 is: 571,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,615 : 266,949 = 266,949 : x
  2. Step 2: Convert to fraction form
    124,615/266,949 = 266,949/x
  3. Step 3: Cross multiply
    124,615x = 266,949 × 266,949
  4. Step 4: Simplify right side
    124,615x = 71,261,768,601
  5. Step 5: Solve for x
    x = 71,261,768,601/124,615
  6. Step 6: Final answer
    x = 571,855.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.