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Finding the Third Proportional to 49,000 and 107,341

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Solution

The third proportional to 49,000 and 107,341 is: 235,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000 : 107,341 = 107,341 : x
  2. Step 2: Convert to fraction form
    49,000/107,341 = 107,341/x
  3. Step 3: Cross multiply
    49,000x = 107,341 × 107,341
  4. Step 4: Simplify right side
    49,000x = 11,522,090,281
  5. Step 5: Solve for x
    x = 11,522,090,281/49,000
  6. Step 6: Final answer
    x = 235,144.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.