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Finding the Third Proportional to 71,462 and 156,253

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Solution

The third proportional to 71,462 and 156,253 is: 341,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462 : 156,253 = 156,253 : x
  2. Step 2: Convert to fraction form
    71,462/156,253 = 156,253/x
  3. Step 3: Cross multiply
    71,462x = 156,253 × 156,253
  4. Step 4: Simplify right side
    71,462x = 24,415,000,009
  5. Step 5: Solve for x
    x = 24,415,000,009/71,462
  6. Step 6: Final answer
    x = 341,650.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.