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Finding the Third Proportional to 52,261 and 114,927

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Solution

The third proportional to 52,261 and 114,927 is: 252,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,261 : 114,927 = 114,927 : x
  2. Step 2: Convert to fraction form
    52,261/114,927 = 114,927/x
  3. Step 3: Cross multiply
    52,261x = 114,927 × 114,927
  4. Step 4: Simplify right side
    52,261x = 13,208,215,329
  5. Step 5: Solve for x
    x = 13,208,215,329/52,261
  6. Step 6: Final answer
    x = 252,735.60

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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.