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Finding the Third Proportional to 113,430 and 158,950

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Solution

The third proportional to 113,430 and 158,950 is: 222,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,430 : 158,950 = 158,950 : x
  2. Step 2: Convert to fraction form
    113,430/158,950 = 158,950/x
  3. Step 3: Cross multiply
    113,430x = 158,950 × 158,950
  4. Step 4: Simplify right side
    113,430x = 25,265,102,500
  5. Step 5: Solve for x
    x = 25,265,102,500/113,430
  6. Step 6: Final answer
    x = 222,737.39

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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.