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Finding the Third Proportional to 125,605.50 and 273,027

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Solution

The third proportional to 125,605.50 and 273,027 is: 593,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,605.50 : 273,027 = 273,027 : x
  2. Step 2: Convert to fraction form
    125,605.50/273,027 = 273,027/x
  3. Step 3: Cross multiply
    125,605.50x = 273,027 × 273,027
  4. Step 4: Simplify right side
    125,605.50x = 74,543,742,729
  5. Step 5: Solve for x
    x = 74,543,742,729/125,605.50
  6. Step 6: Final answer
    x = 593,475.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.