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Finding the Third Proportional to 101,276 and 218,134

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Solution

The third proportional to 101,276 and 218,134 is: 469,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,276 : 218,134 = 218,134 : x
  2. Step 2: Convert to fraction form
    101,276/218,134 = 218,134/x
  3. Step 3: Cross multiply
    101,276x = 218,134 × 218,134
  4. Step 4: Simplify right side
    101,276x = 47,582,441,956
  5. Step 5: Solve for x
    x = 47,582,441,956/101,276
  6. Step 6: Final answer
    x = 469,829.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.