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Finding the Third Proportional to 72,901.90 and 151,620.61

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Solution

The third proportional to 72,901.90 and 151,620.61 is: 315,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,901.90 : 151,620.61 = 151,620.61 : x
  2. Step 2: Convert to fraction form
    72,901.90/151,620.61 = 151,620.61/x
  3. Step 3: Cross multiply
    72,901.90x = 151,620.61 × 151,620.61
  4. Step 4: Simplify right side
    72,901.90x = 22,988,809,187.25
  5. Step 5: Solve for x
    x = 22,988,809,187.25/72,901.90
  6. Step 6: Final answer
    x = 315,338.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.