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Finding the Third Proportional to 47,676 and 102,660

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Solution

The third proportional to 47,676 and 102,660 is: 221,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676 : 102,660 = 102,660 : x
  2. Step 2: Convert to fraction form
    47,676/102,660 = 102,660/x
  3. Step 3: Cross multiply
    47,676x = 102,660 × 102,660
  4. Step 4: Simplify right side
    47,676x = 10,539,075,600
  5. Step 5: Solve for x
    x = 10,539,075,600/47,676
  6. Step 6: Final answer
    x = 221,056.20

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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.