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Finding the Third Proportional to 110,971 and 157,021.50

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Solution

The third proportional to 110,971 and 157,021.50 is: 222,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,971 : 157,021.50 = 157,021.50 : x
  2. Step 2: Convert to fraction form
    110,971/157,021.50 = 157,021.50/x
  3. Step 3: Cross multiply
    110,971x = 157,021.50 × 157,021.50
  4. Step 4: Simplify right side
    110,971x = 24,655,751,462.25
  5. Step 5: Solve for x
    x = 24,655,751,462.25/110,971
  6. Step 6: Final answer
    x = 222,181.93

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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.