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Finding the Third Proportional to 125,119 and 295,234

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Solution

The third proportional to 125,119 and 295,234 is: 696,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,119 : 295,234 = 295,234 : x
  2. Step 2: Convert to fraction form
    125,119/295,234 = 295,234/x
  3. Step 3: Cross multiply
    125,119x = 295,234 × 295,234
  4. Step 4: Simplify right side
    125,119x = 87,163,114,756
  5. Step 5: Solve for x
    x = 87,163,114,756/125,119
  6. Step 6: Final answer
    x = 696,641.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.