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Finding the Third Proportional to 61,091 and 132,622

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Solution

The third proportional to 61,091 and 132,622 is: 287,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,091 : 132,622 = 132,622 : x
  2. Step 2: Convert to fraction form
    61,091/132,622 = 132,622/x
  3. Step 3: Cross multiply
    61,091x = 132,622 × 132,622
  4. Step 4: Simplify right side
    61,091x = 17,588,594,884
  5. Step 5: Solve for x
    x = 17,588,594,884/61,091
  6. Step 6: Final answer
    x = 287,908.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.