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Finding the Third Proportional to 73,864 and 156,590

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Solution

The third proportional to 73,864 and 156,590 is: 331,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,864 : 156,590 = 156,590 : x
  2. Step 2: Convert to fraction form
    73,864/156,590 = 156,590/x
  3. Step 3: Cross multiply
    73,864x = 156,590 × 156,590
  4. Step 4: Simplify right side
    73,864x = 24,520,428,100
  5. Step 5: Solve for x
    x = 24,520,428,100/73,864
  6. Step 6: Final answer
    x = 331,967.24

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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.