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Finding the Third Proportional to 114,690.94 and 177,152.06

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Solution

The third proportional to 114,690.94 and 177,152.06 is: 273,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,690.94 : 177,152.06 = 177,152.06 : x
  2. Step 2: Convert to fraction form
    114,690.94/177,152.06 = 177,152.06/x
  3. Step 3: Cross multiply
    114,690.94x = 177,152.06 × 177,152.06
  4. Step 4: Simplify right side
    114,690.94x = 31,382,853,248.00
  5. Step 5: Solve for x
    x = 31,382,853,248.00/114,690.94
  6. Step 6: Final answer
    x = 273,629.76

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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.