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Finding the Third Proportional to 49,566 and 106,044

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Solution

The third proportional to 49,566 and 106,044 is: 226,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,566 : 106,044 = 106,044 : x
  2. Step 2: Convert to fraction form
    49,566/106,044 = 106,044/x
  3. Step 3: Cross multiply
    49,566x = 106,044 × 106,044
  4. Step 4: Simplify right side
    49,566x = 11,245,329,936
  5. Step 5: Solve for x
    x = 11,245,329,936/49,566
  6. Step 6: Final answer
    x = 226,875.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.