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Finding the Third Proportional to 108,706 and 167,109

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Solution

The third proportional to 108,706 and 167,109 is: 256,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,706 : 167,109 = 167,109 : x
  2. Step 2: Convert to fraction form
    108,706/167,109 = 167,109/x
  3. Step 3: Cross multiply
    108,706x = 167,109 × 167,109
  4. Step 4: Simplify right side
    108,706x = 27,925,417,881
  5. Step 5: Solve for x
    x = 27,925,417,881/108,706
  6. Step 6: Final answer
    x = 256,889.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.