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Finding the Third Proportional to 72,975.94 and 157,190.63

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Solution

The third proportional to 72,975.94 and 157,190.63 is: 338,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,975.94 : 157,190.63 = 157,190.63 : x
  2. Step 2: Convert to fraction form
    72,975.94/157,190.63 = 157,190.63/x
  3. Step 3: Cross multiply
    72,975.94x = 157,190.63 × 157,190.63
  4. Step 4: Simplify right side
    72,975.94x = 24,708,892,587.89
  5. Step 5: Solve for x
    x = 24,708,892,587.89/72,975.94
  6. Step 6: Final answer
    x = 338,589.59

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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.