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Finding the Third Proportional to 53,334 and 114,732

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Solution

The third proportional to 53,334 and 114,732 is: 246,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,334 : 114,732 = 114,732 : x
  2. Step 2: Convert to fraction form
    53,334/114,732 = 114,732/x
  3. Step 3: Cross multiply
    53,334x = 114,732 × 114,732
  4. Step 4: Simplify right side
    53,334x = 13,163,431,824
  5. Step 5: Solve for x
    x = 13,163,431,824/53,334
  6. Step 6: Final answer
    x = 246,811.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.