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Finding the Third Proportional to 104,002 and 154,473.50

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Solution

The third proportional to 104,002 and 154,473.50 is: 229,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,002 : 154,473.50 = 154,473.50 : x
  2. Step 2: Convert to fraction form
    104,002/154,473.50 = 154,473.50/x
  3. Step 3: Cross multiply
    104,002x = 154,473.50 × 154,473.50
  4. Step 4: Simplify right side
    104,002x = 23,862,062,202.25
  5. Step 5: Solve for x
    x = 23,862,062,202.25/104,002
  6. Step 6: Final answer
    x = 229,438.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.