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Finding the Third Proportional to 73,689 and 156,153

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Solution

The third proportional to 73,689 and 156,153 is: 330,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,689 : 156,153 = 156,153 : x
  2. Step 2: Convert to fraction form
    73,689/156,153 = 156,153/x
  3. Step 3: Cross multiply
    73,689x = 156,153 × 156,153
  4. Step 4: Simplify right side
    73,689x = 24,383,759,409
  5. Step 5: Solve for x
    x = 24,383,759,409/73,689
  6. Step 6: Final answer
    x = 330,900.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.