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Finding the Third Proportional to 124,123 and 265,189

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Solution

The third proportional to 124,123 and 265,189 is: 566,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,123 : 265,189 = 265,189 : x
  2. Step 2: Convert to fraction form
    124,123/265,189 = 265,189/x
  3. Step 3: Cross multiply
    124,123x = 265,189 × 265,189
  4. Step 4: Simplify right side
    124,123x = 70,325,205,721
  5. Step 5: Solve for x
    x = 70,325,205,721/124,123
  6. Step 6: Final answer
    x = 566,576.75

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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.