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Finding the Third Proportional to 108,942 and 154,160

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Solution

The third proportional to 108,942 and 154,160 is: 218,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,942 : 154,160 = 154,160 : x
  2. Step 2: Convert to fraction form
    108,942/154,160 = 154,160/x
  3. Step 3: Cross multiply
    108,942x = 154,160 × 154,160
  4. Step 4: Simplify right side
    108,942x = 23,765,305,600
  5. Step 5: Solve for x
    x = 23,765,305,600/108,942
  6. Step 6: Final answer
    x = 218,146.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.