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Finding the Third Proportional to 61,633 and 94,105

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Solution

The third proportional to 61,633 and 94,105 is: 143,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,633 : 94,105 = 94,105 : x
  2. Step 2: Convert to fraction form
    61,633/94,105 = 94,105/x
  3. Step 3: Cross multiply
    61,633x = 94,105 × 94,105
  4. Step 4: Simplify right side
    61,633x = 8,855,751,025
  5. Step 5: Solve for x
    x = 8,855,751,025/61,633
  6. Step 6: Final answer
    x = 143,685.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.