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Finding the Third Proportional to 73,156.50 and 157,227.75

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Solution

The third proportional to 73,156.50 and 157,227.75 is: 337,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,156.50 : 157,227.75 = 157,227.75 : x
  2. Step 2: Convert to fraction form
    73,156.50/157,227.75 = 157,227.75/x
  3. Step 3: Cross multiply
    73,156.50x = 157,227.75 × 157,227.75
  4. Step 4: Simplify right side
    73,156.50x = 24,720,565,370.06
  5. Step 5: Solve for x
    x = 24,720,565,370.06/73,156.50
  6. Step 6: Final answer
    x = 337,913.45

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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.