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Finding the Third Proportional to 96,434 and 149,019

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Solution

The third proportional to 96,434 and 149,019 is: 230,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434 : 149,019 = 149,019 : x
  2. Step 2: Convert to fraction form
    96,434/149,019 = 149,019/x
  3. Step 3: Cross multiply
    96,434x = 149,019 × 149,019
  4. Step 4: Simplify right side
    96,434x = 22,206,662,361
  5. Step 5: Solve for x
    x = 22,206,662,361/96,434
  6. Step 6: Final answer
    x = 230,278.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.