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Finding the Third Proportional to 64,956 and 140,274

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Solution

The third proportional to 64,956 and 140,274 is: 302,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,956 : 140,274 = 140,274 : x
  2. Step 2: Convert to fraction form
    64,956/140,274 = 140,274/x
  3. Step 3: Cross multiply
    64,956x = 140,274 × 140,274
  4. Step 4: Simplify right side
    64,956x = 19,676,795,076
  5. Step 5: Solve for x
    x = 19,676,795,076/64,956
  6. Step 6: Final answer
    x = 302,924.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.