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Finding the Third Proportional to 46,353 and 94,341

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Solution

The third proportional to 46,353 and 94,341 is: 192,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,353 : 94,341 = 94,341 : x
  2. Step 2: Convert to fraction form
    46,353/94,341 = 94,341/x
  3. Step 3: Cross multiply
    46,353x = 94,341 × 94,341
  4. Step 4: Simplify right side
    46,353x = 8,900,224,281
  5. Step 5: Solve for x
    x = 8,900,224,281/46,353
  6. Step 6: Final answer
    x = 192,009.67

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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.