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Finding the Third Proportional to 140,958 and 193,293

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Solution

The third proportional to 140,958 and 193,293 is: 265,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,958 : 193,293 = 193,293 : x
  2. Step 2: Convert to fraction form
    140,958/193,293 = 193,293/x
  3. Step 3: Cross multiply
    140,958x = 193,293 × 193,293
  4. Step 4: Simplify right side
    140,958x = 37,362,183,849
  5. Step 5: Solve for x
    x = 37,362,183,849/140,958
  6. Step 6: Final answer
    x = 265,058.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.