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Finding the Third Proportional to 48,029 and 103,174

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Solution

The third proportional to 48,029 and 103,174 is: 221,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,029 : 103,174 = 103,174 : x
  2. Step 2: Convert to fraction form
    48,029/103,174 = 103,174/x
  3. Step 3: Cross multiply
    48,029x = 103,174 × 103,174
  4. Step 4: Simplify right side
    48,029x = 10,644,874,276
  5. Step 5: Solve for x
    x = 10,644,874,276/48,029
  6. Step 6: Final answer
    x = 221,634.31

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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.