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Finding the Third Proportional to 49,946.06 and 106,248.94

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Solution

The third proportional to 49,946.06 and 106,248.94 is: 226,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,946.06 : 106,248.94 = 106,248.94 : x
  2. Step 2: Convert to fraction form
    49,946.06/106,248.94 = 106,248.94/x
  3. Step 3: Cross multiply
    49,946.06x = 106,248.94 × 106,248.94
  4. Step 4: Simplify right side
    49,946.06x = 11,288,836,719.88
  5. Step 5: Solve for x
    x = 11,288,836,719.88/49,946.06
  6. Step 6: Final answer
    x = 226,020.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.