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Finding the Third Proportional to 73,419.75 and 157,497.75

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Solution

The third proportional to 73,419.75 and 157,497.75 is: 337,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,419.75 : 157,497.75 = 157,497.75 : x
  2. Step 2: Convert to fraction form
    73,419.75/157,497.75 = 157,497.75/x
  3. Step 3: Cross multiply
    73,419.75x = 157,497.75 × 157,497.75
  4. Step 4: Simplify right side
    73,419.75x = 24,805,541,255.06
  5. Step 5: Solve for x
    x = 24,805,541,255.06/73,419.75
  6. Step 6: Final answer
    x = 337,859.24

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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.