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Finding the Third Proportional to 53,592 and 116,407

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Solution

The third proportional to 53,592 and 116,407 is: 252,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,592 : 116,407 = 116,407 : x
  2. Step 2: Convert to fraction form
    53,592/116,407 = 116,407/x
  3. Step 3: Cross multiply
    53,592x = 116,407 × 116,407
  4. Step 4: Simplify right side
    53,592x = 13,550,589,649
  5. Step 5: Solve for x
    x = 13,550,589,649/53,592
  6. Step 6: Final answer
    x = 252,847.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.