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Finding the Third Proportional to 67,525 and 156,322.75

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Solution

The third proportional to 67,525 and 156,322.75 is: 361,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,525 : 156,322.75 = 156,322.75 : x
  2. Step 2: Convert to fraction form
    67,525/156,322.75 = 156,322.75/x
  3. Step 3: Cross multiply
    67,525x = 156,322.75 × 156,322.75
  4. Step 4: Simplify right side
    67,525x = 24,436,802,167.56
  5. Step 5: Solve for x
    x = 24,436,802,167.56/67,525
  6. Step 6: Final answer
    x = 361,892.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.