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Finding the Third Proportional to 43,788 and 94,146

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Solution

The third proportional to 43,788 and 94,146 is: 202,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,788 : 94,146 = 94,146 : x
  2. Step 2: Convert to fraction form
    43,788/94,146 = 94,146/x
  3. Step 3: Cross multiply
    43,788x = 94,146 × 94,146
  4. Step 4: Simplify right side
    43,788x = 8,863,469,316
  5. Step 5: Solve for x
    x = 8,863,469,316/43,788
  6. Step 6: Final answer
    x = 202,417.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.