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Finding the Third Proportional to 69,035.50 and 148,635

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Solution

The third proportional to 69,035.50 and 148,635 is: 320,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,035.50 : 148,635 = 148,635 : x
  2. Step 2: Convert to fraction form
    69,035.50/148,635 = 148,635/x
  3. Step 3: Cross multiply
    69,035.50x = 148,635 × 148,635
  4. Step 4: Simplify right side
    69,035.50x = 22,092,363,225
  5. Step 5: Solve for x
    x = 22,092,363,225/69,035.50
  6. Step 6: Final answer
    x = 320,014.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.