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Finding the Third Proportional to 125,145 and 259,161

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Solution

The third proportional to 125,145 and 259,161 is: 536,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,145 : 259,161 = 259,161 : x
  2. Step 2: Convert to fraction form
    125,145/259,161 = 259,161/x
  3. Step 3: Cross multiply
    125,145x = 259,161 × 259,161
  4. Step 4: Simplify right side
    125,145x = 67,164,423,921
  5. Step 5: Solve for x
    x = 67,164,423,921/125,145
  6. Step 6: Final answer
    x = 536,692.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.