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Finding the Third Proportional to 124,227 and 191,174

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Solution

The third proportional to 124,227 and 191,174 is: 294,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,227 : 191,174 = 191,174 : x
  2. Step 2: Convert to fraction form
    124,227/191,174 = 191,174/x
  3. Step 3: Cross multiply
    124,227x = 191,174 × 191,174
  4. Step 4: Simplify right side
    124,227x = 36,547,498,276
  5. Step 5: Solve for x
    x = 36,547,498,276/124,227
  6. Step 6: Final answer
    x = 294,199.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.