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Finding the Third Proportional to 129,858 and 270,102

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Solution

The third proportional to 129,858 and 270,102 is: 561,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,858 : 270,102 = 270,102 : x
  2. Step 2: Convert to fraction form
    129,858/270,102 = 270,102/x
  3. Step 3: Cross multiply
    129,858x = 270,102 × 270,102
  4. Step 4: Simplify right side
    129,858x = 72,955,090,404
  5. Step 5: Solve for x
    x = 72,955,090,404/129,858
  6. Step 6: Final answer
    x = 561,806.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.