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Finding the Third Proportional to 61,063 and 128,686

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Solution

The third proportional to 61,063 and 128,686 is: 271,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,063 : 128,686 = 128,686 : x
  2. Step 2: Convert to fraction form
    61,063/128,686 = 128,686/x
  3. Step 3: Cross multiply
    61,063x = 128,686 × 128,686
  4. Step 4: Simplify right side
    61,063x = 16,560,086,596
  5. Step 5: Solve for x
    x = 16,560,086,596/61,063
  6. Step 6: Final answer
    x = 271,196.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.