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Finding the Third Proportional to 108,154 and 144,671

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Solution

The third proportional to 108,154 and 144,671 is: 193,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,154 : 144,671 = 144,671 : x
  2. Step 2: Convert to fraction form
    108,154/144,671 = 144,671/x
  3. Step 3: Cross multiply
    108,154x = 144,671 × 144,671
  4. Step 4: Simplify right side
    108,154x = 20,929,698,241
  5. Step 5: Solve for x
    x = 20,929,698,241/108,154
  6. Step 6: Final answer
    x = 193,517.56

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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.