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Finding the Third Proportional to 43,683 and 102,599

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Solution

The third proportional to 43,683 and 102,599 is: 240,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683 : 102,599 = 102,599 : x
  2. Step 2: Convert to fraction form
    43,683/102,599 = 102,599/x
  3. Step 3: Cross multiply
    43,683x = 102,599 × 102,599
  4. Step 4: Simplify right side
    43,683x = 10,526,554,801
  5. Step 5: Solve for x
    x = 10,526,554,801/43,683
  6. Step 6: Final answer
    x = 240,976.00

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.