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Finding the Third Proportional to 115,063 and 251,044

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Solution

The third proportional to 115,063 and 251,044 is: 547,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,063 : 251,044 = 251,044 : x
  2. Step 2: Convert to fraction form
    115,063/251,044 = 251,044/x
  3. Step 3: Cross multiply
    115,063x = 251,044 × 251,044
  4. Step 4: Simplify right side
    115,063x = 63,023,089,936
  5. Step 5: Solve for x
    x = 63,023,089,936/115,063
  6. Step 6: Final answer
    x = 547,726.81

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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.