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Finding the Third Proportional to 75,834 and 118,950

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Solution

The third proportional to 75,834 and 118,950 is: 186,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,834 : 118,950 = 118,950 : x
  2. Step 2: Convert to fraction form
    75,834/118,950 = 118,950/x
  3. Step 3: Cross multiply
    75,834x = 118,950 × 118,950
  4. Step 4: Simplify right side
    75,834x = 14,149,102,500
  5. Step 5: Solve for x
    x = 14,149,102,500/75,834
  6. Step 6: Final answer
    x = 186,579.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.