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Finding the Third Proportional to 47,303 and 73,245

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Solution

The third proportional to 47,303 and 73,245 is: 113,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,303 : 73,245 = 73,245 : x
  2. Step 2: Convert to fraction form
    47,303/73,245 = 73,245/x
  3. Step 3: Cross multiply
    47,303x = 73,245 × 73,245
  4. Step 4: Simplify right side
    47,303x = 5,364,830,025
  5. Step 5: Solve for x
    x = 5,364,830,025/47,303
  6. Step 6: Final answer
    x = 113,414.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.