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Finding the Third Proportional to 43,394 and 94,708

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Solution

The third proportional to 43,394 and 94,708 is: 206,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,394 : 94,708 = 94,708 : x
  2. Step 2: Convert to fraction form
    43,394/94,708 = 94,708/x
  3. Step 3: Cross multiply
    43,394x = 94,708 × 94,708
  4. Step 4: Simplify right side
    43,394x = 8,969,605,264
  5. Step 5: Solve for x
    x = 8,969,605,264/43,394
  6. Step 6: Final answer
    x = 206,701.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.