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Finding the Third Proportional to 56,649 and 132,306

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Solution

The third proportional to 56,649 and 132,306 is: 309,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,649 : 132,306 = 132,306 : x
  2. Step 2: Convert to fraction form
    56,649/132,306 = 132,306/x
  3. Step 3: Cross multiply
    56,649x = 132,306 × 132,306
  4. Step 4: Simplify right side
    56,649x = 17,504,877,636
  5. Step 5: Solve for x
    x = 17,504,877,636/56,649
  6. Step 6: Final answer
    x = 309,005.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.