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Finding the Third Proportional to 49,150 and 106,060

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Solution

The third proportional to 49,150 and 106,060 is: 228,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,150 : 106,060 = 106,060 : x
  2. Step 2: Convert to fraction form
    49,150/106,060 = 106,060/x
  3. Step 3: Cross multiply
    49,150x = 106,060 × 106,060
  4. Step 4: Simplify right side
    49,150x = 11,248,723,600
  5. Step 5: Solve for x
    x = 11,248,723,600/49,150
  6. Step 6: Final answer
    x = 228,865.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.