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Finding the Third Proportional to 51,242 and 105,036

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Solution

The third proportional to 51,242 and 105,036 is: 215,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,242 : 105,036 = 105,036 : x
  2. Step 2: Convert to fraction form
    51,242/105,036 = 105,036/x
  3. Step 3: Cross multiply
    51,242x = 105,036 × 105,036
  4. Step 4: Simplify right side
    51,242x = 11,032,561,296
  5. Step 5: Solve for x
    x = 11,032,561,296/51,242
  6. Step 6: Final answer
    x = 215,303.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.