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Finding the Third Proportional to 149,142 and 225,885

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Solution

The third proportional to 149,142 and 225,885 is: 342,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142 : 225,885 = 225,885 : x
  2. Step 2: Convert to fraction form
    149,142/225,885 = 225,885/x
  3. Step 3: Cross multiply
    149,142x = 225,885 × 225,885
  4. Step 4: Simplify right side
    149,142x = 51,024,033,225
  5. Step 5: Solve for x
    x = 51,024,033,225/149,142
  6. Step 6: Final answer
    x = 342,117.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.