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Finding the Third Proportional to 102,722 and 157,671

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Solution

The third proportional to 102,722 and 157,671 is: 242,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,722 : 157,671 = 157,671 : x
  2. Step 2: Convert to fraction form
    102,722/157,671 = 157,671/x
  3. Step 3: Cross multiply
    102,722x = 157,671 × 157,671
  4. Step 4: Simplify right side
    102,722x = 24,860,144,241
  5. Step 5: Solve for x
    x = 24,860,144,241/102,722
  6. Step 6: Final answer
    x = 242,013.83

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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.