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Finding the Third Proportional to 127,035 and 178,408

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Solution

The third proportional to 127,035 and 178,408 is: 250,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,035 : 178,408 = 178,408 : x
  2. Step 2: Convert to fraction form
    127,035/178,408 = 178,408/x
  3. Step 3: Cross multiply
    127,035x = 178,408 × 178,408
  4. Step 4: Simplify right side
    127,035x = 31,829,414,464
  5. Step 5: Solve for x
    x = 31,829,414,464/127,035
  6. Step 6: Final answer
    x = 250,556.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.