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Finding the Third Proportional to 123,135 and 269,625

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Solution

The third proportional to 123,135 and 269,625 is: 590,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,135 : 269,625 = 269,625 : x
  2. Step 2: Convert to fraction form
    123,135/269,625 = 269,625/x
  3. Step 3: Cross multiply
    123,135x = 269,625 × 269,625
  4. Step 4: Simplify right side
    123,135x = 72,697,640,625
  5. Step 5: Solve for x
    x = 72,697,640,625/123,135
  6. Step 6: Final answer
    x = 590,389.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.