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Finding the Third Proportional to 49,096.50 and 106,024.50

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Solution

The third proportional to 49,096.50 and 106,024.50 is: 228,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096.50 : 106,024.50 = 106,024.50 : x
  2. Step 2: Convert to fraction form
    49,096.50/106,024.50 = 106,024.50/x
  3. Step 3: Cross multiply
    49,096.50x = 106,024.50 × 106,024.50
  4. Step 4: Simplify right side
    49,096.50x = 11,241,194,600.25
  5. Step 5: Solve for x
    x = 11,241,194,600.25/49,096.50
  6. Step 6: Final answer
    x = 228,961.22

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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.