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Finding the Third Proportional to 115,121.25 and 177,602.63

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Solution

The third proportional to 115,121.25 and 177,602.63 is: 273,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,121.25 : 177,602.63 = 177,602.63 : x
  2. Step 2: Convert to fraction form
    115,121.25/177,602.63 = 177,602.63/x
  3. Step 3: Cross multiply
    115,121.25x = 177,602.63 × 177,602.63
  4. Step 4: Simplify right side
    115,121.25x = 31,542,692,406.89
  5. Step 5: Solve for x
    x = 31,542,692,406.89/115,121.25
  6. Step 6: Final answer
    x = 273,995.40

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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.