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Finding the Third Proportional to 133,042 and 191,257

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Solution

The third proportional to 133,042 and 191,257 is: 274,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 191,257 = 191,257 : x
  2. Step 2: Convert to fraction form
    133,042/191,257 = 191,257/x
  3. Step 3: Cross multiply
    133,042x = 191,257 × 191,257
  4. Step 4: Simplify right side
    133,042x = 36,579,240,049
  5. Step 5: Solve for x
    x = 36,579,240,049/133,042
  6. Step 6: Final answer
    x = 274,945.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.