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Finding the Third Proportional to 53,984 and 115,780

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Solution

The third proportional to 53,984 and 115,780 is: 248,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,984 : 115,780 = 115,780 : x
  2. Step 2: Convert to fraction form
    53,984/115,780 = 115,780/x
  3. Step 3: Cross multiply
    53,984x = 115,780 × 115,780
  4. Step 4: Simplify right side
    53,984x = 13,405,008,400
  5. Step 5: Solve for x
    x = 13,405,008,400/53,984
  6. Step 6: Final answer
    x = 248,314.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.