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Finding the Third Proportional to 125,255.25 and 193,984.88

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Solution

The third proportional to 125,255.25 and 193,984.88 is: 300,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,255.25 : 193,984.88 = 193,984.88 : x
  2. Step 2: Convert to fraction form
    125,255.25/193,984.88 = 193,984.88/x
  3. Step 3: Cross multiply
    125,255.25x = 193,984.88 × 193,984.88
  4. Step 4: Simplify right side
    125,255.25x = 37,630,131,728.77
  5. Step 5: Solve for x
    x = 37,630,131,728.77/125,255.25
  6. Step 6: Final answer
    x = 300,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.