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Finding the Third Proportional to 134,854.50 and 194,253.75

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Solution

The third proportional to 134,854.50 and 194,253.75 is: 279,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,854.50 : 194,253.75 = 194,253.75 : x
  2. Step 2: Convert to fraction form
    134,854.50/194,253.75 = 194,253.75/x
  3. Step 3: Cross multiply
    134,854.50x = 194,253.75 × 194,253.75
  4. Step 4: Simplify right side
    134,854.50x = 37,734,519,389.06
  5. Step 5: Solve for x
    x = 37,734,519,389.06/134,854.50
  6. Step 6: Final answer
    x = 279,816.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.