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Finding the Third Proportional to 46,825 and 100,210

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Solution

The third proportional to 46,825 and 100,210 is: 214,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,825 : 100,210 = 100,210 : x
  2. Step 2: Convert to fraction form
    46,825/100,210 = 100,210/x
  3. Step 3: Cross multiply
    46,825x = 100,210 × 100,210
  4. Step 4: Simplify right side
    46,825x = 10,042,044,100
  5. Step 5: Solve for x
    x = 10,042,044,100/46,825
  6. Step 6: Final answer
    x = 214,459.03

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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.