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Finding the Third Proportional to 78,044 and 168,568

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Solution

The third proportional to 78,044 and 168,568 is: 364,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,044 : 168,568 = 168,568 : x
  2. Step 2: Convert to fraction form
    78,044/168,568 = 168,568/x
  3. Step 3: Cross multiply
    78,044x = 168,568 × 168,568
  4. Step 4: Simplify right side
    78,044x = 28,415,170,624
  5. Step 5: Solve for x
    x = 28,415,170,624/78,044
  6. Step 6: Final answer
    x = 364,091.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.