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Finding the Third Proportional to 108,348 and 143,802

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Solution

The third proportional to 108,348 and 143,802 is: 190,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,348 : 143,802 = 143,802 : x
  2. Step 2: Convert to fraction form
    108,348/143,802 = 143,802/x
  3. Step 3: Cross multiply
    108,348x = 143,802 × 143,802
  4. Step 4: Simplify right side
    108,348x = 20,679,015,204
  5. Step 5: Solve for x
    x = 20,679,015,204/108,348
  6. Step 6: Final answer
    x = 190,857.38

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