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Finding the Third Proportional to 46,002 and 73,389

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Solution

The third proportional to 46,002 and 73,389 is: 117,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,002 : 73,389 = 73,389 : x
  2. Step 2: Convert to fraction form
    46,002/73,389 = 73,389/x
  3. Step 3: Cross multiply
    46,002x = 73,389 × 73,389
  4. Step 4: Simplify right side
    46,002x = 5,385,945,321
  5. Step 5: Solve for x
    x = 5,385,945,321/46,002
  6. Step 6: Final answer
    x = 117,080.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.