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Finding the Third Proportional to 77,524 and 122,958

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Solution

The third proportional to 77,524 and 122,958 is: 195,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,524 : 122,958 = 122,958 : x
  2. Step 2: Convert to fraction form
    77,524/122,958 = 122,958/x
  3. Step 3: Cross multiply
    77,524x = 122,958 × 122,958
  4. Step 4: Simplify right side
    77,524x = 15,118,669,764
  5. Step 5: Solve for x
    x = 15,118,669,764/77,524
  6. Step 6: Final answer
    x = 195,019.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.