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Finding the Third Proportional to 75,448 and 157,096

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Solution

The third proportional to 75,448 and 157,096 is: 327,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,448 : 157,096 = 157,096 : x
  2. Step 2: Convert to fraction form
    75,448/157,096 = 157,096/x
  3. Step 3: Cross multiply
    75,448x = 157,096 × 157,096
  4. Step 4: Simplify right side
    75,448x = 24,679,153,216
  5. Step 5: Solve for x
    x = 24,679,153,216/75,448
  6. Step 6: Final answer
    x = 327,101.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.