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Finding the Third Proportional to 53,437 and 114,734

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Solution

The third proportional to 53,437 and 114,734 is: 246,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,437 : 114,734 = 114,734 : x
  2. Step 2: Convert to fraction form
    53,437/114,734 = 114,734/x
  3. Step 3: Cross multiply
    53,437x = 114,734 × 114,734
  4. Step 4: Simplify right side
    53,437x = 13,163,890,756
  5. Step 5: Solve for x
    x = 13,163,890,756/53,437
  6. Step 6: Final answer
    x = 246,344.12

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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.