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Finding the Third Proportional to 172,122 and 365,127

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Solution

The third proportional to 172,122 and 365,127 is: 774,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,122 : 365,127 = 365,127 : x
  2. Step 2: Convert to fraction form
    172,122/365,127 = 365,127/x
  3. Step 3: Cross multiply
    172,122x = 365,127 × 365,127
  4. Step 4: Simplify right side
    172,122x = 133,317,726,129
  5. Step 5: Solve for x
    x = 133,317,726,129/172,122
  6. Step 6: Final answer
    x = 774,553.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.