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Finding the Third Proportional to 49,053 and 107,013

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Solution

The third proportional to 49,053 and 107,013 is: 233,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,053 : 107,013 = 107,013 : x
  2. Step 2: Convert to fraction form
    49,053/107,013 = 107,013/x
  3. Step 3: Cross multiply
    49,053x = 107,013 × 107,013
  4. Step 4: Simplify right side
    49,053x = 11,451,782,169
  5. Step 5: Solve for x
    x = 11,451,782,169/49,053
  6. Step 6: Final answer
    x = 233,457.33

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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.