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Finding the Third Proportional to 73,186 and 148,964

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Solution

The third proportional to 73,186 and 148,964 is: 303,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,186 : 148,964 = 148,964 : x
  2. Step 2: Convert to fraction form
    73,186/148,964 = 148,964/x
  3. Step 3: Cross multiply
    73,186x = 148,964 × 148,964
  4. Step 4: Simplify right side
    73,186x = 22,190,273,296
  5. Step 5: Solve for x
    x = 22,190,273,296/73,186
  6. Step 6: Final answer
    x = 303,203.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.