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Finding the Third Proportional to 105,032 and 157,183

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Solution

The third proportional to 105,032 and 157,183 is: 235,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032 : 157,183 = 157,183 : x
  2. Step 2: Convert to fraction form
    105,032/157,183 = 157,183/x
  3. Step 3: Cross multiply
    105,032x = 157,183 × 157,183
  4. Step 4: Simplify right side
    105,032x = 24,706,495,489
  5. Step 5: Solve for x
    x = 24,706,495,489/105,032
  6. Step 6: Final answer
    x = 235,228.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.