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Finding the Third Proportional to 43,801 and 94,658

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Solution

The third proportional to 43,801 and 94,658 is: 204,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,801 : 94,658 = 94,658 : x
  2. Step 2: Convert to fraction form
    43,801/94,658 = 94,658/x
  3. Step 3: Cross multiply
    43,801x = 94,658 × 94,658
  4. Step 4: Simplify right side
    43,801x = 8,960,136,964
  5. Step 5: Solve for x
    x = 8,960,136,964/43,801
  6. Step 6: Final answer
    x = 204,564.67

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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.