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Finding the Third Proportional to 114,740 and 161,293

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Solution

The third proportional to 114,740 and 161,293 is: 226,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,740 : 161,293 = 161,293 : x
  2. Step 2: Convert to fraction form
    114,740/161,293 = 161,293/x
  3. Step 3: Cross multiply
    114,740x = 161,293 × 161,293
  4. Step 4: Simplify right side
    114,740x = 26,015,431,849
  5. Step 5: Solve for x
    x = 26,015,431,849/114,740
  6. Step 6: Final answer
    x = 226,733.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.