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Finding the Third Proportional to 115,085 and 175,031

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Solution

The third proportional to 115,085 and 175,031 is: 266,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,085 : 175,031 = 175,031 : x
  2. Step 2: Convert to fraction form
    115,085/175,031 = 175,031/x
  3. Step 3: Cross multiply
    115,085x = 175,031 × 175,031
  4. Step 4: Simplify right side
    115,085x = 30,635,850,961
  5. Step 5: Solve for x
    x = 30,635,850,961/115,085
  6. Step 6: Final answer
    x = 266,201.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.