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Finding the Third Proportional to 134,570 and 199,249

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Solution

The third proportional to 134,570 and 199,249 is: 295,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,570 : 199,249 = 199,249 : x
  2. Step 2: Convert to fraction form
    134,570/199,249 = 199,249/x
  3. Step 3: Cross multiply
    134,570x = 199,249 × 199,249
  4. Step 4: Simplify right side
    134,570x = 39,700,164,001
  5. Step 5: Solve for x
    x = 39,700,164,001/134,570
  6. Step 6: Final answer
    x = 295,014.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.