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Finding the Third Proportional to 52,262 and 114,929

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Solution

The third proportional to 52,262 and 114,929 is: 252,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,262 : 114,929 = 114,929 : x
  2. Step 2: Convert to fraction form
    52,262/114,929 = 114,929/x
  3. Step 3: Cross multiply
    52,262x = 114,929 × 114,929
  4. Step 4: Simplify right side
    52,262x = 13,208,675,041
  5. Step 5: Solve for x
    x = 13,208,675,041/52,262
  6. Step 6: Final answer
    x = 252,739.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.