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Finding the Third Proportional to 75,724 and 159,297

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Solution

The third proportional to 75,724 and 159,297 is: 335,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724 : 159,297 = 159,297 : x
  2. Step 2: Convert to fraction form
    75,724/159,297 = 159,297/x
  3. Step 3: Cross multiply
    75,724x = 159,297 × 159,297
  4. Step 4: Simplify right side
    75,724x = 25,375,534,209
  5. Step 5: Solve for x
    x = 25,375,534,209/75,724
  6. Step 6: Final answer
    x = 335,105.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.