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Finding the Third Proportional to 117,555 and 179,097

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Solution

The third proportional to 117,555 and 179,097 is: 272,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,555 : 179,097 = 179,097 : x
  2. Step 2: Convert to fraction form
    117,555/179,097 = 179,097/x
  3. Step 3: Cross multiply
    117,555x = 179,097 × 179,097
  4. Step 4: Simplify right side
    117,555x = 32,075,735,409
  5. Step 5: Solve for x
    x = 32,075,735,409/117,555
  6. Step 6: Final answer
    x = 272,857.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.