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Finding the Third Proportional to 109,725 and 146,817

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Solution

The third proportional to 109,725 and 146,817 is: 196,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,725 : 146,817 = 146,817 : x
  2. Step 2: Convert to fraction form
    109,725/146,817 = 146,817/x
  3. Step 3: Cross multiply
    109,725x = 146,817 × 146,817
  4. Step 4: Simplify right side
    109,725x = 21,555,231,489
  5. Step 5: Solve for x
    x = 21,555,231,489/109,725
  6. Step 6: Final answer
    x = 196,447.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.