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Finding the Third Proportional to 125,205.75 and 190,906.88

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Solution

The third proportional to 125,205.75 and 190,906.88 is: 291,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,205.75 : 190,906.88 = 190,906.88 : x
  2. Step 2: Convert to fraction form
    125,205.75/190,906.88 = 190,906.88/x
  3. Step 3: Cross multiply
    125,205.75x = 190,906.88 × 190,906.88
  4. Step 4: Simplify right side
    125,205.75x = 36,445,434,922.27
  5. Step 5: Solve for x
    x = 36,445,434,922.27/125,205.75
  6. Step 6: Final answer
    x = 291,084.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.