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Finding the Third Proportional to 49,106 and 105,478

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Solution

The third proportional to 49,106 and 105,478 is: 226,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,106 : 105,478 = 105,478 : x
  2. Step 2: Convert to fraction form
    49,106/105,478 = 105,478/x
  3. Step 3: Cross multiply
    49,106x = 105,478 × 105,478
  4. Step 4: Simplify right side
    49,106x = 11,125,608,484
  5. Step 5: Solve for x
    x = 11,125,608,484/49,106
  6. Step 6: Final answer
    x = 226,563.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.