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Finding the Third Proportional to 123,962 and 270,964

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Solution

The third proportional to 123,962 and 270,964 is: 592,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,962 : 270,964 = 270,964 : x
  2. Step 2: Convert to fraction form
    123,962/270,964 = 270,964/x
  3. Step 3: Cross multiply
    123,962x = 270,964 × 270,964
  4. Step 4: Simplify right side
    123,962x = 73,421,489,296
  5. Step 5: Solve for x
    x = 73,421,489,296/123,962
  6. Step 6: Final answer
    x = 592,290.29

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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.