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Finding the Third Proportional to 108,106 and 159,380

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Solution

The third proportional to 108,106 and 159,380 is: 234,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,106 : 159,380 = 159,380 : x
  2. Step 2: Convert to fraction form
    108,106/159,380 = 159,380/x
  3. Step 3: Cross multiply
    108,106x = 159,380 × 159,380
  4. Step 4: Simplify right side
    108,106x = 25,401,984,400
  5. Step 5: Solve for x
    x = 25,401,984,400/108,106
  6. Step 6: Final answer
    x = 234,972.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.