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Finding the Third Proportional to 72,562 and 104,515

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Solution

The third proportional to 72,562 and 104,515 is: 150,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,562 : 104,515 = 104,515 : x
  2. Step 2: Convert to fraction form
    72,562/104,515 = 104,515/x
  3. Step 3: Cross multiply
    72,562x = 104,515 × 104,515
  4. Step 4: Simplify right side
    72,562x = 10,923,385,225
  5. Step 5: Solve for x
    x = 10,923,385,225/72,562
  6. Step 6: Final answer
    x = 150,538.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.