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Finding the Third Proportional to 73,974.94 and 114,415.03

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Solution

The third proportional to 73,974.94 and 114,415.03 is: 176,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,974.94 : 114,415.03 = 114,415.03 : x
  2. Step 2: Convert to fraction form
    73,974.94/114,415.03 = 114,415.03/x
  3. Step 3: Cross multiply
    73,974.94x = 114,415.03 × 114,415.03
  4. Step 4: Simplify right side
    73,974.94x = 13,090,799,375.94
  5. Step 5: Solve for x
    x = 13,090,799,375.94/73,974.94
  6. Step 6: Final answer
    x = 176,962.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.