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Finding the Third Proportional to 92,266.50 and 137,919.75

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Solution

The third proportional to 92,266.50 and 137,919.75 is: 206,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,266.50 : 137,919.75 = 137,919.75 : x
  2. Step 2: Convert to fraction form
    92,266.50/137,919.75 = 137,919.75/x
  3. Step 3: Cross multiply
    92,266.50x = 137,919.75 × 137,919.75
  4. Step 4: Simplify right side
    92,266.50x = 19,021,857,440.06
  5. Step 5: Solve for x
    x = 19,021,857,440.06/92,266.50
  6. Step 6: Final answer
    x = 206,162.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.