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Finding the Third Proportional to 63,266 and 94,755

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Solution

The third proportional to 63,266 and 94,755 is: 141,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,266 : 94,755 = 94,755 : x
  2. Step 2: Convert to fraction form
    63,266/94,755 = 94,755/x
  3. Step 3: Cross multiply
    63,266x = 94,755 × 94,755
  4. Step 4: Simplify right side
    63,266x = 8,978,510,025
  5. Step 5: Solve for x
    x = 8,978,510,025/63,266
  6. Step 6: Final answer
    x = 141,916.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.