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Finding the Third Proportional to 85,254 and 127,625

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Solution

The third proportional to 85,254 and 127,625 is: 191,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,254 : 127,625 = 127,625 : x
  2. Step 2: Convert to fraction form
    85,254/127,625 = 127,625/x
  3. Step 3: Cross multiply
    85,254x = 127,625 × 127,625
  4. Step 4: Simplify right side
    85,254x = 16,288,140,625
  5. Step 5: Solve for x
    x = 16,288,140,625/85,254
  6. Step 6: Final answer
    x = 191,054.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.