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Finding the Third Proportional to 108,378 and 143,838

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Solution

The third proportional to 108,378 and 143,838 is: 190,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,378 : 143,838 = 143,838 : x
  2. Step 2: Convert to fraction form
    108,378/143,838 = 143,838/x
  3. Step 3: Cross multiply
    108,378x = 143,838 × 143,838
  4. Step 4: Simplify right side
    108,378x = 20,689,370,244
  5. Step 5: Solve for x
    x = 20,689,370,244/108,378
  6. Step 6: Final answer
    x = 190,900.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.