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Finding the Third Proportional to 108,861 and 164,932

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Solution

The third proportional to 108,861 and 164,932 is: 249,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,861 : 164,932 = 164,932 : x
  2. Step 2: Convert to fraction form
    108,861/164,932 = 164,932/x
  3. Step 3: Cross multiply
    108,861x = 164,932 × 164,932
  4. Step 4: Simplify right side
    108,861x = 27,202,564,624
  5. Step 5: Solve for x
    x = 27,202,564,624/108,861
  6. Step 6: Final answer
    x = 249,883.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.