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Finding the Third Proportional to 81,762 and 127,011

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Solution

The third proportional to 81,762 and 127,011 is: 197,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762 : 127,011 = 127,011 : x
  2. Step 2: Convert to fraction form
    81,762/127,011 = 127,011/x
  3. Step 3: Cross multiply
    81,762x = 127,011 × 127,011
  4. Step 4: Simplify right side
    81,762x = 16,131,794,121
  5. Step 5: Solve for x
    x = 16,131,794,121/81,762
  6. Step 6: Final answer
    x = 197,301.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.