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Finding the Third Proportional to 103,444 and 158,174

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Solution

The third proportional to 103,444 and 158,174 is: 241,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,444 : 158,174 = 158,174 : x
  2. Step 2: Convert to fraction form
    103,444/158,174 = 158,174/x
  3. Step 3: Cross multiply
    103,444x = 158,174 × 158,174
  4. Step 4: Simplify right side
    103,444x = 25,019,014,276
  5. Step 5: Solve for x
    x = 25,019,014,276/103,444
  6. Step 6: Final answer
    x = 241,860.47

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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.