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Finding the Third Proportional to 46,354 and 94,343

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Solution

The third proportional to 46,354 and 94,343 is: 192,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354 : 94,343 = 94,343 : x
  2. Step 2: Convert to fraction form
    46,354/94,343 = 94,343/x
  3. Step 3: Cross multiply
    46,354x = 94,343 × 94,343
  4. Step 4: Simplify right side
    46,354x = 8,900,601,649
  5. Step 5: Solve for x
    x = 8,900,601,649/46,354
  6. Step 6: Final answer
    x = 192,013.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.