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Finding the Third Proportional to 112,962 and 241,436

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Solution

The third proportional to 112,962 and 241,436 is: 516,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,962 : 241,436 = 241,436 : x
  2. Step 2: Convert to fraction form
    112,962/241,436 = 241,436/x
  3. Step 3: Cross multiply
    112,962x = 241,436 × 241,436
  4. Step 4: Simplify right side
    112,962x = 58,291,342,096
  5. Step 5: Solve for x
    x = 58,291,342,096/112,962
  6. Step 6: Final answer
    x = 516,026.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.