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Finding the Third Proportional to 42,030 and 90,162

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Solution

The third proportional to 42,030 and 90,162 is: 193,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,030 : 90,162 = 90,162 : x
  2. Step 2: Convert to fraction form
    42,030/90,162 = 90,162/x
  3. Step 3: Cross multiply
    42,030x = 90,162 × 90,162
  4. Step 4: Simplify right side
    42,030x = 8,129,186,244
  5. Step 5: Solve for x
    x = 8,129,186,244/42,030
  6. Step 6: Final answer
    x = 193,413.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.