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Finding the Third Proportional to 125,635.50 and 273,418.88

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Solution

The third proportional to 125,635.50 and 273,418.88 is: 595,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,635.50 : 273,418.88 = 273,418.88 : x
  2. Step 2: Convert to fraction form
    125,635.50/273,418.88 = 273,418.88/x
  3. Step 3: Cross multiply
    125,635.50x = 273,418.88 × 273,418.88
  4. Step 4: Simplify right side
    125,635.50x = 74,757,881,206.27
  5. Step 5: Solve for x
    x = 74,757,881,206.27/125,635.50
  6. Step 6: Final answer
    x = 595,037.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.