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Finding the Third Proportional to 73,700 and 160,894

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Solution

The third proportional to 73,700 and 160,894 is: 351,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,700 : 160,894 = 160,894 : x
  2. Step 2: Convert to fraction form
    73,700/160,894 = 160,894/x
  3. Step 3: Cross multiply
    73,700x = 160,894 × 160,894
  4. Step 4: Simplify right side
    73,700x = 25,886,879,236
  5. Step 5: Solve for x
    x = 25,886,879,236/73,700
  6. Step 6: Final answer
    x = 351,246.67

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Why These Related Problems?

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