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Finding the Third Proportional to 108,151 and 144,669

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Solution

The third proportional to 108,151 and 144,669 is: 193,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,151 : 144,669 = 144,669 : x
  2. Step 2: Convert to fraction form
    108,151/144,669 = 144,669/x
  3. Step 3: Cross multiply
    108,151x = 144,669 × 144,669
  4. Step 4: Simplify right side
    108,151x = 20,929,119,561
  5. Step 5: Solve for x
    x = 20,929,119,561/108,151
  6. Step 6: Final answer
    x = 193,517.58

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