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Finding the Third Proportional to 100,527.75 and 122,200.50

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Solution

The third proportional to 100,527.75 and 122,200.50 is: 148,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.75 : 122,200.50 = 122,200.50 : x
  2. Step 2: Convert to fraction form
    100,527.75/122,200.50 = 122,200.50/x
  3. Step 3: Cross multiply
    100,527.75x = 122,200.50 × 122,200.50
  4. Step 4: Simplify right side
    100,527.75x = 14,932,962,200.25
  5. Step 5: Solve for x
    x = 14,932,962,200.25/100,527.75
  6. Step 6: Final answer
    x = 148,545.67

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.