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Finding the Third Proportional to 137,747 and 201,901

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Solution

The third proportional to 137,747 and 201,901 is: 295,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,747 : 201,901 = 201,901 : x
  2. Step 2: Convert to fraction form
    137,747/201,901 = 201,901/x
  3. Step 3: Cross multiply
    137,747x = 201,901 × 201,901
  4. Step 4: Simplify right side
    137,747x = 40,764,013,801
  5. Step 5: Solve for x
    x = 40,764,013,801/137,747
  6. Step 6: Final answer
    x = 295,933.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.