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Finding the Third Proportional to 115,107 and 251,544

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Solution

The third proportional to 115,107 and 251,544 is: 549,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,107 : 251,544 = 251,544 : x
  2. Step 2: Convert to fraction form
    115,107/251,544 = 251,544/x
  3. Step 3: Cross multiply
    115,107x = 251,544 × 251,544
  4. Step 4: Simplify right side
    115,107x = 63,274,383,936
  5. Step 5: Solve for x
    x = 63,274,383,936/115,107
  6. Step 6: Final answer
    x = 549,700.57

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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.