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Finding the Third Proportional to 110,841 and 162,331.50

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Solution

The third proportional to 110,841 and 162,331.50 is: 237,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,841 : 162,331.50 = 162,331.50 : x
  2. Step 2: Convert to fraction form
    110,841/162,331.50 = 162,331.50/x
  3. Step 3: Cross multiply
    110,841x = 162,331.50 × 162,331.50
  4. Step 4: Simplify right side
    110,841x = 26,351,515,892.25
  5. Step 5: Solve for x
    x = 26,351,515,892.25/110,841
  6. Step 6: Final answer
    x = 237,741.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.