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Finding the Third Proportional to 108,143 and 144,657

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Solution

The third proportional to 108,143 and 144,657 is: 193,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,143 : 144,657 = 144,657 : x
  2. Step 2: Convert to fraction form
    108,143/144,657 = 144,657/x
  3. Step 3: Cross multiply
    108,143x = 144,657 × 144,657
  4. Step 4: Simplify right side
    108,143x = 20,925,647,649
  5. Step 5: Solve for x
    x = 20,925,647,649/108,143
  6. Step 6: Final answer
    x = 193,499.79

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.