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Finding the Third Proportional to 62,294 and 146,245

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Solution

The third proportional to 62,294 and 146,245 is: 343,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,294 : 146,245 = 146,245 : x
  2. Step 2: Convert to fraction form
    62,294/146,245 = 146,245/x
  3. Step 3: Cross multiply
    62,294x = 146,245 × 146,245
  4. Step 4: Simplify right side
    62,294x = 21,387,600,025
  5. Step 5: Solve for x
    x = 21,387,600,025/62,294
  6. Step 6: Final answer
    x = 343,333.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.