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Finding the Third Proportional to 52,411 and 116,431

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Solution

The third proportional to 52,411 and 116,431 is: 258,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411 : 116,431 = 116,431 : x
  2. Step 2: Convert to fraction form
    52,411/116,431 = 116,431/x
  3. Step 3: Cross multiply
    52,411x = 116,431 × 116,431
  4. Step 4: Simplify right side
    52,411x = 13,556,177,761
  5. Step 5: Solve for x
    x = 13,556,177,761/52,411
  6. Step 6: Final answer
    x = 258,651.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.