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Finding the Third Proportional to 49,120 and 107,236

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Solution

The third proportional to 49,120 and 107,236 is: 234,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,120 : 107,236 = 107,236 : x
  2. Step 2: Convert to fraction form
    49,120/107,236 = 107,236/x
  3. Step 3: Cross multiply
    49,120x = 107,236 × 107,236
  4. Step 4: Simplify right side
    49,120x = 11,499,559,696
  5. Step 5: Solve for x
    x = 11,499,559,696/49,120
  6. Step 6: Final answer
    x = 234,111.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.