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Finding the Third Proportional to 47,205 and 76,685

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Solution

The third proportional to 47,205 and 76,685 is: 124,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205 : 76,685 = 76,685 : x
  2. Step 2: Convert to fraction form
    47,205/76,685 = 76,685/x
  3. Step 3: Cross multiply
    47,205x = 76,685 × 76,685
  4. Step 4: Simplify right side
    47,205x = 5,880,589,225
  5. Step 5: Solve for x
    x = 5,880,589,225/47,205
  6. Step 6: Final answer
    x = 124,575.56

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.