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Finding the Third Proportional to 53,304 and 114,911.44

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Solution

The third proportional to 53,304 and 114,911.44 is: 247,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,304 : 114,911.44 = 114,911.44 : x
  2. Step 2: Convert to fraction form
    53,304/114,911.44 = 114,911.44/x
  3. Step 3: Cross multiply
    53,304x = 114,911.44 × 114,911.44
  4. Step 4: Simplify right side
    53,304x = 13,204,638,468.32
  5. Step 5: Solve for x
    x = 13,204,638,468.32/53,304
  6. Step 6: Final answer
    x = 247,723.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.