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Finding the Third Proportional to 61,674 and 132,084

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Solution

The third proportional to 61,674 and 132,084 is: 282,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,674 : 132,084 = 132,084 : x
  2. Step 2: Convert to fraction form
    61,674/132,084 = 132,084/x
  3. Step 3: Cross multiply
    61,674x = 132,084 × 132,084
  4. Step 4: Simplify right side
    61,674x = 17,446,183,056
  5. Step 5: Solve for x
    x = 17,446,183,056/61,674
  6. Step 6: Final answer
    x = 282,877.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.