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Finding the Third Proportional to 129,895.50 and 203,043.75

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Solution

The third proportional to 129,895.50 and 203,043.75 is: 317,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,895.50 : 203,043.75 = 203,043.75 : x
  2. Step 2: Convert to fraction form
    129,895.50/203,043.75 = 203,043.75/x
  3. Step 3: Cross multiply
    129,895.50x = 203,043.75 × 203,043.75
  4. Step 4: Simplify right side
    129,895.50x = 41,226,764,414.06
  5. Step 5: Solve for x
    x = 41,226,764,414.06/129,895.50
  6. Step 6: Final answer
    x = 317,384.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.