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Finding the Third Proportional to 96,574 and 149,231

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Solution

The third proportional to 96,574 and 149,231 is: 230,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,574 : 149,231 = 149,231 : x
  2. Step 2: Convert to fraction form
    96,574/149,231 = 149,231/x
  3. Step 3: Cross multiply
    96,574x = 149,231 × 149,231
  4. Step 4: Simplify right side
    96,574x = 22,269,891,361
  5. Step 5: Solve for x
    x = 22,269,891,361/96,574
  6. Step 6: Final answer
    x = 230,599.24

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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.