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Finding the Third Proportional to 138,838.50 and 203,073.75

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Solution

The third proportional to 138,838.50 and 203,073.75 is: 297,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,838.50 : 203,073.75 = 203,073.75 : x
  2. Step 2: Convert to fraction form
    138,838.50/203,073.75 = 203,073.75/x
  3. Step 3: Cross multiply
    138,838.50x = 203,073.75 × 203,073.75
  4. Step 4: Simplify right side
    138,838.50x = 41,238,947,939.06
  5. Step 5: Solve for x
    x = 41,238,947,939.06/138,838.50
  6. Step 6: Final answer
    x = 297,028.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.