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Finding the Third Proportional to 125,183.25 and 190,928

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Solution

The third proportional to 125,183.25 and 190,928 is: 291,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,183.25 : 190,928 = 190,928 : x
  2. Step 2: Convert to fraction form
    125,183.25/190,928 = 190,928/x
  3. Step 3: Cross multiply
    125,183.25x = 190,928 × 190,928
  4. Step 4: Simplify right side
    125,183.25x = 36,453,501,184
  5. Step 5: Solve for x
    x = 36,453,501,184/125,183.25
  6. Step 6: Final answer
    x = 291,201.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.