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Finding the Third Proportional to 94,391.75 and 137,129.50

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Solution

The third proportional to 94,391.75 and 137,129.50 is: 199,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,391.75 : 137,129.50 = 137,129.50 : x
  2. Step 2: Convert to fraction form
    94,391.75/137,129.50 = 137,129.50/x
  3. Step 3: Cross multiply
    94,391.75x = 137,129.50 × 137,129.50
  4. Step 4: Simplify right side
    94,391.75x = 18,804,499,770.25
  5. Step 5: Solve for x
    x = 18,804,499,770.25/94,391.75
  6. Step 6: Final answer
    x = 199,217.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.