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Finding the Third Proportional to 48,245 and 74,215

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Solution

The third proportional to 48,245 and 74,215 is: 114,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,245 : 74,215 = 74,215 : x
  2. Step 2: Convert to fraction form
    48,245/74,215 = 74,215/x
  3. Step 3: Cross multiply
    48,245x = 74,215 × 74,215
  4. Step 4: Simplify right side
    48,245x = 5,507,866,225
  5. Step 5: Solve for x
    x = 5,507,866,225/48,245
  6. Step 6: Final answer
    x = 114,164.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.