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Finding the Third Proportional to 112,099 and 171,433

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Solution

The third proportional to 112,099 and 171,433 is: 262,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,099 : 171,433 = 171,433 : x
  2. Step 2: Convert to fraction form
    112,099/171,433 = 171,433/x
  3. Step 3: Cross multiply
    112,099x = 171,433 × 171,433
  4. Step 4: Simplify right side
    112,099x = 29,389,273,489
  5. Step 5: Solve for x
    x = 29,389,273,489/112,099
  6. Step 6: Final answer
    x = 262,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.