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Finding the Third Proportional to 53,006 and 115,975

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Solution

The third proportional to 53,006 and 115,975 is: 253,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006 : 115,975 = 115,975 : x
  2. Step 2: Convert to fraction form
    53,006/115,975 = 115,975/x
  3. Step 3: Cross multiply
    53,006x = 115,975 × 115,975
  4. Step 4: Simplify right side
    53,006x = 13,450,200,625
  5. Step 5: Solve for x
    x = 13,450,200,625/53,006
  6. Step 6: Final answer
    x = 253,748.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.