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Finding the Third Proportional to 46,767 and 101,922

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Solution

The third proportional to 46,767 and 101,922 is: 222,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767 : 101,922 = 101,922 : x
  2. Step 2: Convert to fraction form
    46,767/101,922 = 101,922/x
  3. Step 3: Cross multiply
    46,767x = 101,922 × 101,922
  4. Step 4: Simplify right side
    46,767x = 10,388,094,084
  5. Step 5: Solve for x
    x = 10,388,094,084/46,767
  6. Step 6: Final answer
    x = 222,124.45

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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.