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Finding the Third Proportional to 66,004 and 154,013

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Solution

The third proportional to 66,004 and 154,013 is: 359,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,004 : 154,013 = 154,013 : x
  2. Step 2: Convert to fraction form
    66,004/154,013 = 154,013/x
  3. Step 3: Cross multiply
    66,004x = 154,013 × 154,013
  4. Step 4: Simplify right side
    66,004x = 23,720,004,169
  5. Step 5: Solve for x
    x = 23,720,004,169/66,004
  6. Step 6: Final answer
    x = 359,372.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.