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Finding the Third Proportional to 73,865 and 156,592

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Solution

The third proportional to 73,865 and 156,592 is: 331,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,865 : 156,592 = 156,592 : x
  2. Step 2: Convert to fraction form
    73,865/156,592 = 156,592/x
  3. Step 3: Cross multiply
    73,865x = 156,592 × 156,592
  4. Step 4: Simplify right side
    73,865x = 24,521,054,464
  5. Step 5: Solve for x
    x = 24,521,054,464/73,865
  6. Step 6: Final answer
    x = 331,971.22

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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.