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Finding the Third Proportional to 86,757 and 127,401

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Solution

The third proportional to 86,757 and 127,401 is: 187,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,757 : 127,401 = 127,401 : x
  2. Step 2: Convert to fraction form
    86,757/127,401 = 127,401/x
  3. Step 3: Cross multiply
    86,757x = 127,401 × 127,401
  4. Step 4: Simplify right side
    86,757x = 16,231,014,801
  5. Step 5: Solve for x
    x = 16,231,014,801/86,757
  6. Step 6: Final answer
    x = 187,085.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.