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Finding the Third Proportional to 46,262 and 100,875

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Solution

The third proportional to 46,262 and 100,875 is: 219,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,262 : 100,875 = 100,875 : x
  2. Step 2: Convert to fraction form
    46,262/100,875 = 100,875/x
  3. Step 3: Cross multiply
    46,262x = 100,875 × 100,875
  4. Step 4: Simplify right side
    46,262x = 10,175,765,625
  5. Step 5: Solve for x
    x = 10,175,765,625/46,262
  6. Step 6: Final answer
    x = 219,959.48

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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.