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Finding the Third Proportional to 102,222 and 156,573

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Solution

The third proportional to 102,222 and 156,573 is: 239,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222 : 156,573 = 156,573 : x
  2. Step 2: Convert to fraction form
    102,222/156,573 = 156,573/x
  3. Step 3: Cross multiply
    102,222x = 156,573 × 156,573
  4. Step 4: Simplify right side
    102,222x = 24,515,104,329
  5. Step 5: Solve for x
    x = 24,515,104,329/102,222
  6. Step 6: Final answer
    x = 239,822.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.