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Finding the Third Proportional to 102,829.50 and 154,240.88

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Solution

The third proportional to 102,829.50 and 154,240.88 is: 231,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,829.50 : 154,240.88 = 154,240.88 : x
  2. Step 2: Convert to fraction form
    102,829.50/154,240.88 = 154,240.88/x
  3. Step 3: Cross multiply
    102,829.50x = 154,240.88 × 154,240.88
  4. Step 4: Simplify right side
    102,829.50x = 23,790,247,520.77
  5. Step 5: Solve for x
    x = 23,790,247,520.77/102,829.50
  6. Step 6: Final answer
    x = 231,356.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.