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Finding the Third Proportional to 61,617 and 132,846

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Solution

The third proportional to 61,617 and 132,846 is: 286,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,617 : 132,846 = 132,846 : x
  2. Step 2: Convert to fraction form
    61,617/132,846 = 132,846/x
  3. Step 3: Cross multiply
    61,617x = 132,846 × 132,846
  4. Step 4: Simplify right side
    61,617x = 17,648,059,716
  5. Step 5: Solve for x
    x = 17,648,059,716/61,617
  6. Step 6: Final answer
    x = 286,415.43

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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.