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Finding the Third Proportional to 85,226 and 127,353

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Solution

The third proportional to 85,226 and 127,353 is: 190,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,226 : 127,353 = 127,353 : x
  2. Step 2: Convert to fraction form
    85,226/127,353 = 127,353/x
  3. Step 3: Cross multiply
    85,226x = 127,353 × 127,353
  4. Step 4: Simplify right side
    85,226x = 16,218,786,609
  5. Step 5: Solve for x
    x = 16,218,786,609/85,226
  6. Step 6: Final answer
    x = 190,303.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.