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Finding the Third Proportional to 46,564 and 73,734

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Solution

The third proportional to 46,564 and 73,734 is: 116,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,564 : 73,734 = 73,734 : x
  2. Step 2: Convert to fraction form
    46,564/73,734 = 73,734/x
  3. Step 3: Cross multiply
    46,564x = 73,734 × 73,734
  4. Step 4: Simplify right side
    46,564x = 5,436,702,756
  5. Step 5: Solve for x
    x = 5,436,702,756/46,564
  6. Step 6: Final answer
    x = 116,757.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.