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Finding the Third Proportional to 96,984 and 149,760

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Solution

The third proportional to 96,984 and 149,760 is: 231,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 149,760 = 149,760 : x
  2. Step 2: Convert to fraction form
    96,984/149,760 = 149,760/x
  3. Step 3: Cross multiply
    96,984x = 149,760 × 149,760
  4. Step 4: Simplify right side
    96,984x = 22,428,057,600
  5. Step 5: Solve for x
    x = 22,428,057,600/96,984
  6. Step 6: Final answer
    x = 231,255.23

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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.