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Finding the Third Proportional to 117,176 and 181,590

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Solution

The third proportional to 117,176 and 181,590 is: 281,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,176 : 181,590 = 181,590 : x
  2. Step 2: Convert to fraction form
    117,176/181,590 = 181,590/x
  3. Step 3: Cross multiply
    117,176x = 181,590 × 181,590
  4. Step 4: Simplify right side
    117,176x = 32,974,928,100
  5. Step 5: Solve for x
    x = 32,974,928,100/117,176
  6. Step 6: Final answer
    x = 281,413.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.