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Finding the Third Proportional to 127,544.63 and 277,232.63

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Solution

The third proportional to 127,544.63 and 277,232.63 is: 602,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,544.63 : 277,232.63 = 277,232.63 : x
  2. Step 2: Convert to fraction form
    127,544.63/277,232.63 = 277,232.63/x
  3. Step 3: Cross multiply
    127,544.63x = 277,232.63 × 277,232.63
  4. Step 4: Simplify right side
    127,544.63x = 76,857,928,364.39
  5. Step 5: Solve for x
    x = 76,857,928,364.39/127,544.63
  6. Step 6: Final answer
    x = 602,596.37

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