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Finding the Third Proportional to 125,121 and 295,239

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Solution

The third proportional to 125,121 and 295,239 is: 696,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,121 : 295,239 = 295,239 : x
  2. Step 2: Convert to fraction form
    125,121/295,239 = 295,239/x
  3. Step 3: Cross multiply
    125,121x = 295,239 × 295,239
  4. Step 4: Simplify right side
    125,121x = 87,166,067,121
  5. Step 5: Solve for x
    x = 87,166,067,121/125,121
  6. Step 6: Final answer
    x = 696,654.18

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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.