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Finding the Third Proportional to 108,168 and 144,690

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Solution

The third proportional to 108,168 and 144,690 is: 193,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,168 : 144,690 = 144,690 : x
  2. Step 2: Convert to fraction form
    108,168/144,690 = 144,690/x
  3. Step 3: Cross multiply
    108,168x = 144,690 × 144,690
  4. Step 4: Simplify right side
    108,168x = 20,935,196,100
  5. Step 5: Solve for x
    x = 20,935,196,100/108,168
  6. Step 6: Final answer
    x = 193,543.34

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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.