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Finding the Third Proportional to 61,566 and 132,974

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Solution

The third proportional to 61,566 and 132,974 is: 287,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,566 : 132,974 = 132,974 : x
  2. Step 2: Convert to fraction form
    61,566/132,974 = 132,974/x
  3. Step 3: Cross multiply
    61,566x = 132,974 × 132,974
  4. Step 4: Simplify right side
    61,566x = 17,682,084,676
  5. Step 5: Solve for x
    x = 17,682,084,676/61,566
  6. Step 6: Final answer
    x = 287,205.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.