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Finding the Third Proportional to 51,467 and 110,069

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Solution

The third proportional to 51,467 and 110,069 is: 235,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,467 : 110,069 = 110,069 : x
  2. Step 2: Convert to fraction form
    51,467/110,069 = 110,069/x
  3. Step 3: Cross multiply
    51,467x = 110,069 × 110,069
  4. Step 4: Simplify right side
    51,467x = 12,115,184,761
  5. Step 5: Solve for x
    x = 12,115,184,761/51,467
  6. Step 6: Final answer
    x = 235,397.14

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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.