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Finding the Third Proportional to 53,770 and 118,245

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Solution

The third proportional to 53,770 and 118,245 is: 260,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770 : 118,245 = 118,245 : x
  2. Step 2: Convert to fraction form
    53,770/118,245 = 118,245/x
  3. Step 3: Cross multiply
    53,770x = 118,245 × 118,245
  4. Step 4: Simplify right side
    53,770x = 13,981,880,025
  5. Step 5: Solve for x
    x = 13,981,880,025/53,770
  6. Step 6: Final answer
    x = 260,031.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.