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Finding the Third Proportional to 43,146 and 94,302

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Solution

The third proportional to 43,146 and 94,302 is: 206,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,146 : 94,302 = 94,302 : x
  2. Step 2: Convert to fraction form
    43,146/94,302 = 94,302/x
  3. Step 3: Cross multiply
    43,146x = 94,302 × 94,302
  4. Step 4: Simplify right side
    43,146x = 8,892,867,204
  5. Step 5: Solve for x
    x = 8,892,867,204/43,146
  6. Step 6: Final answer
    x = 206,111.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.