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Finding the Third Proportional to 123,965 and 255,266

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Solution

The third proportional to 123,965 and 255,266 is: 525,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,965 : 255,266 = 255,266 : x
  2. Step 2: Convert to fraction form
    123,965/255,266 = 255,266/x
  3. Step 3: Cross multiply
    123,965x = 255,266 × 255,266
  4. Step 4: Simplify right side
    123,965x = 65,160,730,756
  5. Step 5: Solve for x
    x = 65,160,730,756/123,965
  6. Step 6: Final answer
    x = 525,638.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.