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Finding the Third Proportional to 123,138 and 265,108

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Solution

The third proportional to 123,138 and 265,108 is: 570,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,138 : 265,108 = 265,108 : x
  2. Step 2: Convert to fraction form
    123,138/265,108 = 265,108/x
  3. Step 3: Cross multiply
    123,138x = 265,108 × 265,108
  4. Step 4: Simplify right side
    123,138x = 70,282,251,664
  5. Step 5: Solve for x
    x = 70,282,251,664/123,138
  6. Step 6: Final answer
    x = 570,760.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.