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Finding the Third Proportional to 84,999 and 127,701

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Solution

The third proportional to 84,999 and 127,701 is: 191,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,999 : 127,701 = 127,701 : x
  2. Step 2: Convert to fraction form
    84,999/127,701 = 127,701/x
  3. Step 3: Cross multiply
    84,999x = 127,701 × 127,701
  4. Step 4: Simplify right side
    84,999x = 16,307,545,401
  5. Step 5: Solve for x
    x = 16,307,545,401/84,999
  6. Step 6: Final answer
    x = 191,855.73

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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.