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Finding the Third Proportional to 108,184 and 167,946

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Solution

The third proportional to 108,184 and 167,946 is: 260,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,184 : 167,946 = 167,946 : x
  2. Step 2: Convert to fraction form
    108,184/167,946 = 167,946/x
  3. Step 3: Cross multiply
    108,184x = 167,946 × 167,946
  4. Step 4: Simplify right side
    108,184x = 28,205,858,916
  5. Step 5: Solve for x
    x = 28,205,858,916/108,184
  6. Step 6: Final answer
    x = 260,721.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.