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Finding the Third Proportional to 123,161.06 and 266,563.13

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Solution

The third proportional to 123,161.06 and 266,563.13 is: 576,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,161.06 : 266,563.13 = 266,563.13 : x
  2. Step 2: Convert to fraction form
    123,161.06/266,563.13 = 266,563.13/x
  3. Step 3: Cross multiply
    123,161.06x = 266,563.13 × 266,563.13
  4. Step 4: Simplify right side
    123,161.06x = 71,055,899,609.77
  5. Step 5: Solve for x
    x = 71,055,899,609.77/123,161.06
  6. Step 6: Final answer
    x = 576,934.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.