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Finding the Third Proportional to 125,123 and 295,244

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Solution

The third proportional to 125,123 and 295,244 is: 696,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,123 : 295,244 = 295,244 : x
  2. Step 2: Convert to fraction form
    125,123/295,244 = 295,244/x
  3. Step 3: Cross multiply
    125,123x = 295,244 × 295,244
  4. Step 4: Simplify right side
    125,123x = 87,169,019,536
  5. Step 5: Solve for x
    x = 87,169,019,536/125,123
  6. Step 6: Final answer
    x = 696,666.64

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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.