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Finding the Third Proportional to 125,193.75 and 265,286.25

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Solution

The third proportional to 125,193.75 and 265,286.25 is: 562,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,193.75 : 265,286.25 = 265,286.25 : x
  2. Step 2: Convert to fraction form
    125,193.75/265,286.25 = 265,286.25/x
  3. Step 3: Cross multiply
    125,193.75x = 265,286.25 × 265,286.25
  4. Step 4: Simplify right side
    125,193.75x = 70,376,794,439.06
  5. Step 5: Solve for x
    x = 70,376,794,439.06/125,193.75
  6. Step 6: Final answer
    x = 562,143.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.