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Finding the Third Proportional to 102,866 and 154,299

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Solution

The third proportional to 102,866 and 154,299 is: 231,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866 : 154,299 = 154,299 : x
  2. Step 2: Convert to fraction form
    102,866/154,299 = 154,299/x
  3. Step 3: Cross multiply
    102,866x = 154,299 × 154,299
  4. Step 4: Simplify right side
    102,866x = 23,808,181,401
  5. Step 5: Solve for x
    x = 23,808,181,401/102,866
  6. Step 6: Final answer
    x = 231,448.50

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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.