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Finding the Third Proportional to 94,874 and 210,751

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Solution

The third proportional to 94,874 and 210,751 is: 468,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,874 : 210,751 = 210,751 : x
  2. Step 2: Convert to fraction form
    94,874/210,751 = 210,751/x
  3. Step 3: Cross multiply
    94,874x = 210,751 × 210,751
  4. Step 4: Simplify right side
    94,874x = 44,415,984,001
  5. Step 5: Solve for x
    x = 44,415,984,001/94,874
  6. Step 6: Final answer
    x = 468,157.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.