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Finding the Third Proportional to 132,971 and 199,551

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Solution

The third proportional to 132,971 and 199,551 is: 299,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,971 : 199,551 = 199,551 : x
  2. Step 2: Convert to fraction form
    132,971/199,551 = 199,551/x
  3. Step 3: Cross multiply
    132,971x = 199,551 × 199,551
  4. Step 4: Simplify right side
    132,971x = 39,820,601,601
  5. Step 5: Solve for x
    x = 39,820,601,601/132,971
  6. Step 6: Final answer
    x = 299,468.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.