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Finding the Third Proportional to 46,802 and 102,620

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Solution

The third proportional to 46,802 and 102,620 is: 225,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802 : 102,620 = 102,620 : x
  2. Step 2: Convert to fraction form
    46,802/102,620 = 102,620/x
  3. Step 3: Cross multiply
    46,802x = 102,620 × 102,620
  4. Step 4: Simplify right side
    46,802x = 10,530,864,400
  5. Step 5: Solve for x
    x = 10,530,864,400/46,802
  6. Step 6: Final answer
    x = 225,008.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.