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Finding the Third Proportional to 67,544 and 156,365

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Solution

The third proportional to 67,544 and 156,365 is: 361,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,544 : 156,365 = 156,365 : x
  2. Step 2: Convert to fraction form
    67,544/156,365 = 156,365/x
  3. Step 3: Cross multiply
    67,544x = 156,365 × 156,365
  4. Step 4: Simplify right side
    67,544x = 24,450,013,225
  5. Step 5: Solve for x
    x = 24,450,013,225/67,544
  6. Step 6: Final answer
    x = 361,986.46

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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.