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Finding the Third Proportional to 72,300.94 and 151,147.69

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Solution

The third proportional to 72,300.94 and 151,147.69 is: 315,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,300.94 : 151,147.69 = 151,147.69 : x
  2. Step 2: Convert to fraction form
    72,300.94/151,147.69 = 151,147.69/x
  3. Step 3: Cross multiply
    72,300.94x = 151,147.69 × 151,147.69
  4. Step 4: Simplify right side
    72,300.94x = 22,845,623,436.60
  5. Step 5: Solve for x
    x = 22,845,623,436.60/72,300.94
  6. Step 6: Final answer
    x = 315,979.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.