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Finding the Third Proportional to 98,571.50 and 154,427

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Solution

The third proportional to 98,571.50 and 154,427 is: 241,933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571.50 : 154,427 = 154,427 : x
  2. Step 2: Convert to fraction form
    98,571.50/154,427 = 154,427/x
  3. Step 3: Cross multiply
    98,571.50x = 154,427 × 154,427
  4. Step 4: Simplify right side
    98,571.50x = 23,847,698,329
  5. Step 5: Solve for x
    x = 23,847,698,329/98,571.50
  6. Step 6: Final answer
    x = 241,933.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.