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Finding the Third Proportional to 94,876 and 210,755

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Solution

The third proportional to 94,876 and 210,755 is: 468,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,876 : 210,755 = 210,755 : x
  2. Step 2: Convert to fraction form
    94,876/210,755 = 210,755/x
  3. Step 3: Cross multiply
    94,876x = 210,755 × 210,755
  4. Step 4: Simplify right side
    94,876x = 44,417,670,025
  5. Step 5: Solve for x
    x = 44,417,670,025/94,876
  6. Step 6: Final answer
    x = 468,165.50

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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.