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Finding the Third Proportional to 96,757 and 149,447

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Solution

The third proportional to 96,757 and 149,447 is: 230,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,757 : 149,447 = 149,447 : x
  2. Step 2: Convert to fraction form
    96,757/149,447 = 149,447/x
  3. Step 3: Cross multiply
    96,757x = 149,447 × 149,447
  4. Step 4: Simplify right side
    96,757x = 22,334,405,809
  5. Step 5: Solve for x
    x = 22,334,405,809/96,757
  6. Step 6: Final answer
    x = 230,829.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.