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Finding the Third Proportional to 125,550.75 and 189,458.06

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Solution

The third proportional to 125,550.75 and 189,458.06 is: 285,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,550.75 : 189,458.06 = 189,458.06 : x
  2. Step 2: Convert to fraction form
    125,550.75/189,458.06 = 189,458.06/x
  3. Step 3: Cross multiply
    125,550.75x = 189,458.06 × 189,458.06
  4. Step 4: Simplify right side
    125,550.75x = 35,894,357,446.25
  5. Step 5: Solve for x
    x = 35,894,357,446.25/125,550.75
  6. Step 6: Final answer
    x = 285,895.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.