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Finding the Third Proportional to 125,094.75 and 188,724.75

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Solution

The third proportional to 125,094.75 and 188,724.75 is: 284,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,094.75 : 188,724.75 = 188,724.75 : x
  2. Step 2: Convert to fraction form
    125,094.75/188,724.75 = 188,724.75/x
  3. Step 3: Cross multiply
    125,094.75x = 188,724.75 × 188,724.75
  4. Step 4: Simplify right side
    125,094.75x = 35,617,031,262.56
  5. Step 5: Solve for x
    x = 35,617,031,262.56/125,094.75
  6. Step 6: Final answer
    x = 284,720.43

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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.