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Finding the Third Proportional to 113,242 and 244,102

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Solution

The third proportional to 113,242 and 244,102 is: 526,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,242 : 244,102 = 244,102 : x
  2. Step 2: Convert to fraction form
    113,242/244,102 = 244,102/x
  3. Step 3: Cross multiply
    113,242x = 244,102 × 244,102
  4. Step 4: Simplify right side
    113,242x = 59,585,786,404
  5. Step 5: Solve for x
    x = 59,585,786,404/113,242
  6. Step 6: Final answer
    x = 526,180.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.