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Finding the Third Proportional to 94,162.50 and 137,917.69

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Solution

The third proportional to 94,162.50 and 137,917.69 is: 202,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,162.50 : 137,917.69 = 137,917.69 : x
  2. Step 2: Convert to fraction form
    94,162.50/137,917.69 = 137,917.69/x
  3. Step 3: Cross multiply
    94,162.50x = 137,917.69 × 137,917.69
  4. Step 4: Simplify right side
    94,162.50x = 19,021,288,525.35
  5. Step 5: Solve for x
    x = 19,021,288,525.35/94,162.50
  6. Step 6: Final answer
    x = 202,004.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.