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Finding the Third Proportional to 88,933 and 135,658.50

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Solution

The third proportional to 88,933 and 135,658.50 is: 206,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,933 : 135,658.50 = 135,658.50 : x
  2. Step 2: Convert to fraction form
    88,933/135,658.50 = 135,658.50/x
  3. Step 3: Cross multiply
    88,933x = 135,658.50 × 135,658.50
  4. Step 4: Simplify right side
    88,933x = 18,403,228,622.25
  5. Step 5: Solve for x
    x = 18,403,228,622.25/88,933
  6. Step 6: Final answer
    x = 206,933.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.