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Finding the Third Proportional to 83,237.63 and 126,933.75

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Solution

The third proportional to 83,237.63 and 126,933.75 is: 193,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.63 : 126,933.75 = 126,933.75 : x
  2. Step 2: Convert to fraction form
    83,237.63/126,933.75 = 126,933.75/x
  3. Step 3: Cross multiply
    83,237.63x = 126,933.75 × 126,933.75
  4. Step 4: Simplify right side
    83,237.63x = 16,112,176,889.06
  5. Step 5: Solve for x
    x = 16,112,176,889.06/83,237.63
  6. Step 6: Final answer
    x = 193,568.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.