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Finding the Third Proportional to 106,706 and 233,092

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Solution

The third proportional to 106,706 and 233,092 is: 509,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,706 : 233,092 = 233,092 : x
  2. Step 2: Convert to fraction form
    106,706/233,092 = 233,092/x
  3. Step 3: Cross multiply
    106,706x = 233,092 × 233,092
  4. Step 4: Simplify right side
    106,706x = 54,331,880,464
  5. Step 5: Solve for x
    x = 54,331,880,464/106,706
  6. Step 6: Final answer
    x = 509,173.62

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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.