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Finding the Third Proportional to 108,114 and 161,736

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Solution

The third proportional to 108,114 and 161,736 is: 241,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,114 : 161,736 = 161,736 : x
  2. Step 2: Convert to fraction form
    108,114/161,736 = 161,736/x
  3. Step 3: Cross multiply
    108,114x = 161,736 × 161,736
  4. Step 4: Simplify right side
    108,114x = 26,158,533,696
  5. Step 5: Solve for x
    x = 26,158,533,696/108,114
  6. Step 6: Final answer
    x = 241,953.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.