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Finding the Third Proportional to 67,546 and 156,370

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Solution

The third proportional to 67,546 and 156,370 is: 361,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,546 : 156,370 = 156,370 : x
  2. Step 2: Convert to fraction form
    67,546/156,370 = 156,370/x
  3. Step 3: Cross multiply
    67,546x = 156,370 × 156,370
  4. Step 4: Simplify right side
    67,546x = 24,451,576,900
  5. Step 5: Solve for x
    x = 24,451,576,900/67,546
  6. Step 6: Final answer
    x = 361,998.89

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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.