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Finding the Third Proportional to 108,390 and 143,814

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Solution

The third proportional to 108,390 and 143,814 is: 190,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,390 : 143,814 = 143,814 : x
  2. Step 2: Convert to fraction form
    108,390/143,814 = 143,814/x
  3. Step 3: Cross multiply
    108,390x = 143,814 × 143,814
  4. Step 4: Simplify right side
    108,390x = 20,682,466,596
  5. Step 5: Solve for x
    x = 20,682,466,596/108,390
  6. Step 6: Final answer
    x = 190,815.27

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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.