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Finding the Third Proportional to 46,950 and 100,578

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Solution

The third proportional to 46,950 and 100,578 is: 215,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,950 : 100,578 = 100,578 : x
  2. Step 2: Convert to fraction form
    46,950/100,578 = 100,578/x
  3. Step 3: Cross multiply
    46,950x = 100,578 × 100,578
  4. Step 4: Simplify right side
    46,950x = 10,115,934,084
  5. Step 5: Solve for x
    x = 10,115,934,084/46,950
  6. Step 6: Final answer
    x = 215,461.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.