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Finding the Third Proportional to 46,112 and 100,720

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Solution

The third proportional to 46,112 and 100,720 is: 219,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,112 : 100,720 = 100,720 : x
  2. Step 2: Convert to fraction form
    46,112/100,720 = 100,720/x
  3. Step 3: Cross multiply
    46,112x = 100,720 × 100,720
  4. Step 4: Simplify right side
    46,112x = 10,144,518,400
  5. Step 5: Solve for x
    x = 10,144,518,400/46,112
  6. Step 6: Final answer
    x = 219,997.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.