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Finding the Third Proportional to 119,649 and 187,721

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Solution

The third proportional to 119,649 and 187,721 is: 294,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,649 : 187,721 = 187,721 : x
  2. Step 2: Convert to fraction form
    119,649/187,721 = 187,721/x
  3. Step 3: Cross multiply
    119,649x = 187,721 × 187,721
  4. Step 4: Simplify right side
    119,649x = 35,239,173,841
  5. Step 5: Solve for x
    x = 35,239,173,841/119,649
  6. Step 6: Final answer
    x = 294,521.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.