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Finding the Third Proportional to 118,458 and 179,097

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Solution

The third proportional to 118,458 and 179,097 is: 270,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,458 : 179,097 = 179,097 : x
  2. Step 2: Convert to fraction form
    118,458/179,097 = 179,097/x
  3. Step 3: Cross multiply
    118,458x = 179,097 × 179,097
  4. Step 4: Simplify right side
    118,458x = 32,075,735,409
  5. Step 5: Solve for x
    x = 32,075,735,409/118,458
  6. Step 6: Final answer
    x = 270,777.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.