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Finding the Third Proportional to 125,352.75 and 188,628

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Solution

The third proportional to 125,352.75 and 188,628 is: 283,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,352.75 : 188,628 = 188,628 : x
  2. Step 2: Convert to fraction form
    125,352.75/188,628 = 188,628/x
  3. Step 3: Cross multiply
    125,352.75x = 188,628 × 188,628
  4. Step 4: Simplify right side
    125,352.75x = 35,580,522,384
  5. Step 5: Solve for x
    x = 35,580,522,384/125,352.75
  6. Step 6: Final answer
    x = 283,843.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.