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Finding the Third Proportional to 73,670 and 160,834

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Solution

The third proportional to 73,670 and 160,834 is: 351,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,670 : 160,834 = 160,834 : x
  2. Step 2: Convert to fraction form
    73,670/160,834 = 160,834/x
  3. Step 3: Cross multiply
    73,670x = 160,834 × 160,834
  4. Step 4: Simplify right side
    73,670x = 25,867,575,556
  5. Step 5: Solve for x
    x = 25,867,575,556/73,670
  6. Step 6: Final answer
    x = 351,127.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.