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Finding the Third Proportional to 47,955 and 102,825

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Solution

The third proportional to 47,955 and 102,825 is: 220,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,955 : 102,825 = 102,825 : x
  2. Step 2: Convert to fraction form
    47,955/102,825 = 102,825/x
  3. Step 3: Cross multiply
    47,955x = 102,825 × 102,825
  4. Step 4: Simplify right side
    47,955x = 10,572,980,625
  5. Step 5: Solve for x
    x = 10,572,980,625/47,955
  6. Step 6: Final answer
    x = 220,477.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.