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Finding the Third Proportional to 137,667 and 201,516

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Solution

The third proportional to 137,667 and 201,516 is: 294,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,667 : 201,516 = 201,516 : x
  2. Step 2: Convert to fraction form
    137,667/201,516 = 201,516/x
  3. Step 3: Cross multiply
    137,667x = 201,516 × 201,516
  4. Step 4: Simplify right side
    137,667x = 40,608,698,256
  5. Step 5: Solve for x
    x = 40,608,698,256/137,667
  6. Step 6: Final answer
    x = 294,977.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.