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Finding the Third Proportional to 102,242 and 149,925

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Solution

The third proportional to 102,242 and 149,925 is: 219,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242 : 149,925 = 149,925 : x
  2. Step 2: Convert to fraction form
    102,242/149,925 = 149,925/x
  3. Step 3: Cross multiply
    102,242x = 149,925 × 149,925
  4. Step 4: Simplify right side
    102,242x = 22,477,505,625
  5. Step 5: Solve for x
    x = 22,477,505,625/102,242
  6. Step 6: Final answer
    x = 219,846.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.