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Finding the Third Proportional to 106,696 and 232,592

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Solution

The third proportional to 106,696 and 232,592 is: 507,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,696 : 232,592 = 232,592 : x
  2. Step 2: Convert to fraction form
    106,696/232,592 = 232,592/x
  3. Step 3: Cross multiply
    106,696x = 232,592 × 232,592
  4. Step 4: Simplify right side
    106,696x = 54,099,038,464
  5. Step 5: Solve for x
    x = 54,099,038,464/106,696
  6. Step 6: Final answer
    x = 507,039.05

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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.