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Finding the Third Proportional to 72,652 and 155,156

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Solution

The third proportional to 72,652 and 155,156 is: 331,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,652 : 155,156 = 155,156 : x
  2. Step 2: Convert to fraction form
    72,652/155,156 = 155,156/x
  3. Step 3: Cross multiply
    72,652x = 155,156 × 155,156
  4. Step 4: Simplify right side
    72,652x = 24,073,384,336
  5. Step 5: Solve for x
    x = 24,073,384,336/72,652
  6. Step 6: Final answer
    x = 331,351.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.