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Finding the Third Proportional to 125,670 and 165,174

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Solution

The third proportional to 125,670 and 165,174 is: 217,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,670 : 165,174 = 165,174 : x
  2. Step 2: Convert to fraction form
    125,670/165,174 = 165,174/x
  3. Step 3: Cross multiply
    125,670x = 165,174 × 165,174
  4. Step 4: Simplify right side
    125,670x = 27,282,450,276
  5. Step 5: Solve for x
    x = 27,282,450,276/125,670
  6. Step 6: Final answer
    x = 217,095.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.