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Finding the Third Proportional to 117,725 and 255,009

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Solution

The third proportional to 117,725 and 255,009 is: 552,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,725 : 255,009 = 255,009 : x
  2. Step 2: Convert to fraction form
    117,725/255,009 = 255,009/x
  3. Step 3: Cross multiply
    117,725x = 255,009 × 255,009
  4. Step 4: Simplify right side
    117,725x = 65,029,590,081
  5. Step 5: Solve for x
    x = 65,029,590,081/117,725
  6. Step 6: Final answer
    x = 552,385.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.