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Finding the Third Proportional to 132,675 and 277,649

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Solution

The third proportional to 132,675 and 277,649 is: 581,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,675 : 277,649 = 277,649 : x
  2. Step 2: Convert to fraction form
    132,675/277,649 = 277,649/x
  3. Step 3: Cross multiply
    132,675x = 277,649 × 277,649
  4. Step 4: Simplify right side
    132,675x = 77,088,967,201
  5. Step 5: Solve for x
    x = 77,088,967,201/132,675
  6. Step 6: Final answer
    x = 581,036.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.