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Finding the Third Proportional to 101,938.50 and 168,474.94

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Solution

The third proportional to 101,938.50 and 168,474.94 is: 278,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,938.50 : 168,474.94 = 168,474.94 : x
  2. Step 2: Convert to fraction form
    101,938.50/168,474.94 = 168,474.94/x
  3. Step 3: Cross multiply
    101,938.50x = 168,474.94 × 168,474.94
  4. Step 4: Simplify right side
    101,938.50x = 28,383,804,565.63
  5. Step 5: Solve for x
    x = 28,383,804,565.63/101,938.50
  6. Step 6: Final answer
    x = 278,440.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.