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Finding the Third Proportional to 101,213 and 163,665

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Solution

The third proportional to 101,213 and 163,665 is: 264,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,213 : 163,665 = 163,665 : x
  2. Step 2: Convert to fraction form
    101,213/163,665 = 163,665/x
  3. Step 3: Cross multiply
    101,213x = 163,665 × 163,665
  4. Step 4: Simplify right side
    101,213x = 26,786,232,225
  5. Step 5: Solve for x
    x = 26,786,232,225/101,213
  6. Step 6: Final answer
    x = 264,652.09

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.