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Finding the Third Proportional to 46,782 and 100,236

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Solution

The third proportional to 46,782 and 100,236 is: 214,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,782 : 100,236 = 100,236 : x
  2. Step 2: Convert to fraction form
    46,782/100,236 = 100,236/x
  3. Step 3: Cross multiply
    46,782x = 100,236 × 100,236
  4. Step 4: Simplify right side
    46,782x = 10,047,255,696
  5. Step 5: Solve for x
    x = 10,047,255,696/46,782
  6. Step 6: Final answer
    x = 214,767.55

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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.