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Finding the Third Proportional to 122,166 and 172,035

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Solution

The third proportional to 122,166 and 172,035 is: 242,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,166 : 172,035 = 172,035 : x
  2. Step 2: Convert to fraction form
    122,166/172,035 = 172,035/x
  3. Step 3: Cross multiply
    122,166x = 172,035 × 172,035
  4. Step 4: Simplify right side
    122,166x = 29,596,041,225
  5. Step 5: Solve for x
    x = 29,596,041,225/122,166
  6. Step 6: Final answer
    x = 242,260.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.