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Finding the Third Proportional to 98,743 and 141,103

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Solution

The third proportional to 98,743 and 141,103 is: 201,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,743 : 141,103 = 141,103 : x
  2. Step 2: Convert to fraction form
    98,743/141,103 = 141,103/x
  3. Step 3: Cross multiply
    98,743x = 141,103 × 141,103
  4. Step 4: Simplify right side
    98,743x = 19,910,056,609
  5. Step 5: Solve for x
    x = 19,910,056,609/98,743
  6. Step 6: Final answer
    x = 201,635.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.