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Finding the Third Proportional to 50,026 and 77,561

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Solution

The third proportional to 50,026 and 77,561 is: 120,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,026 : 77,561 = 77,561 : x
  2. Step 2: Convert to fraction form
    50,026/77,561 = 77,561/x
  3. Step 3: Cross multiply
    50,026x = 77,561 × 77,561
  4. Step 4: Simplify right side
    50,026x = 6,015,708,721
  5. Step 5: Solve for x
    x = 6,015,708,721/50,026
  6. Step 6: Final answer
    x = 120,251.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.