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Finding the Third Proportional to 115,027 and 250,969

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Solution

The third proportional to 115,027 and 250,969 is: 547,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,027 : 250,969 = 250,969 : x
  2. Step 2: Convert to fraction form
    115,027/250,969 = 250,969/x
  3. Step 3: Cross multiply
    115,027x = 250,969 × 250,969
  4. Step 4: Simplify right side
    115,027x = 62,985,438,961
  5. Step 5: Solve for x
    x = 62,985,438,961/115,027
  6. Step 6: Final answer
    x = 547,570.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.