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Finding the Third Proportional to 46,149 and 72,299

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Solution

The third proportional to 46,149 and 72,299 is: 113,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,149 : 72,299 = 72,299 : x
  2. Step 2: Convert to fraction form
    46,149/72,299 = 72,299/x
  3. Step 3: Cross multiply
    46,149x = 72,299 × 72,299
  4. Step 4: Simplify right side
    46,149x = 5,227,145,401
  5. Step 5: Solve for x
    x = 5,227,145,401/46,149
  6. Step 6: Final answer
    x = 113,266.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.