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Finding the Third Proportional to 59,868 and 125,934

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Solution

The third proportional to 59,868 and 125,934 is: 264,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,868 : 125,934 = 125,934 : x
  2. Step 2: Convert to fraction form
    59,868/125,934 = 125,934/x
  3. Step 3: Cross multiply
    59,868x = 125,934 × 125,934
  4. Step 4: Simplify right side
    59,868x = 15,859,372,356
  5. Step 5: Solve for x
    x = 15,859,372,356/59,868
  6. Step 6: Final answer
    x = 264,905.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.