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Finding the Third Proportional to 65,751 and 106,823

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Solution

The third proportional to 65,751 and 106,823 is: 173,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751 : 106,823 = 106,823 : x
  2. Step 2: Convert to fraction form
    65,751/106,823 = 106,823/x
  3. Step 3: Cross multiply
    65,751x = 106,823 × 106,823
  4. Step 4: Simplify right side
    65,751x = 11,411,153,329
  5. Step 5: Solve for x
    x = 11,411,153,329/65,751
  6. Step 6: Final answer
    x = 173,551.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.