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Finding the Third Proportional to 49,402 and 108,174

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Solution

The third proportional to 49,402 and 108,174 is: 236,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,402 : 108,174 = 108,174 : x
  2. Step 2: Convert to fraction form
    49,402/108,174 = 108,174/x
  3. Step 3: Cross multiply
    49,402x = 108,174 × 108,174
  4. Step 4: Simplify right side
    49,402x = 11,701,614,276
  5. Step 5: Solve for x
    x = 11,701,614,276/49,402
  6. Step 6: Final answer
    x = 236,865.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.