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Finding the Third Proportional to 108,867 and 164,943

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Solution

The third proportional to 108,867 and 164,943 is: 249,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,867 : 164,943 = 164,943 : x
  2. Step 2: Convert to fraction form
    108,867/164,943 = 164,943/x
  3. Step 3: Cross multiply
    108,867x = 164,943 × 164,943
  4. Step 4: Simplify right side
    108,867x = 27,206,193,249
  5. Step 5: Solve for x
    x = 27,206,193,249/108,867
  6. Step 6: Final answer
    x = 249,903.03

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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.