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Finding the Third Proportional to 114,684 and 177,139.75

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Solution

The third proportional to 114,684 and 177,139.75 is: 273,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,684 : 177,139.75 = 177,139.75 : x
  2. Step 2: Convert to fraction form
    114,684/177,139.75 = 177,139.75/x
  3. Step 3: Cross multiply
    114,684x = 177,139.75 × 177,139.75
  4. Step 4: Simplify right side
    114,684x = 31,378,491,030.06
  5. Step 5: Solve for x
    x = 31,378,491,030.06/114,684
  6. Step 6: Final answer
    x = 273,608.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.