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Finding the Third Proportional to 53,642 and 114,214

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Solution

The third proportional to 53,642 and 114,214 is: 243,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642 : 114,214 = 114,214 : x
  2. Step 2: Convert to fraction form
    53,642/114,214 = 114,214/x
  3. Step 3: Cross multiply
    53,642x = 114,214 × 114,214
  4. Step 4: Simplify right side
    53,642x = 13,044,837,796
  5. Step 5: Solve for x
    x = 13,044,837,796/53,642
  6. Step 6: Final answer
    x = 243,183.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.