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Finding the Third Proportional to 61,754 and 127,876

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Solution

The third proportional to 61,754 and 127,876 is: 264,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,754 : 127,876 = 127,876 : x
  2. Step 2: Convert to fraction form
    61,754/127,876 = 127,876/x
  3. Step 3: Cross multiply
    61,754x = 127,876 × 127,876
  4. Step 4: Simplify right side
    61,754x = 16,352,271,376
  5. Step 5: Solve for x
    x = 16,352,271,376/61,754
  6. Step 6: Final answer
    x = 264,796.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.