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Finding the Third Proportional to 61,591 and 132,797

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Solution

The third proportional to 61,591 and 132,797 is: 286,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,591 : 132,797 = 132,797 : x
  2. Step 2: Convert to fraction form
    61,591/132,797 = 132,797/x
  3. Step 3: Cross multiply
    61,591x = 132,797 × 132,797
  4. Step 4: Simplify right side
    61,591x = 17,635,043,209
  5. Step 5: Solve for x
    x = 17,635,043,209/61,591
  6. Step 6: Final answer
    x = 286,325.00

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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.