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Finding the Third Proportional to 126,145.50 and 189,748.50

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Solution

The third proportional to 126,145.50 and 189,748.50 is: 285,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,145.50 : 189,748.50 = 189,748.50 : x
  2. Step 2: Convert to fraction form
    126,145.50/189,748.50 = 189,748.50/x
  3. Step 3: Cross multiply
    126,145.50x = 189,748.50 × 189,748.50
  4. Step 4: Simplify right side
    126,145.50x = 36,004,493,252.25
  5. Step 5: Solve for x
    x = 36,004,493,252.25/126,145.50
  6. Step 6: Final answer
    x = 285,420.35

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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.