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Finding the Third Proportional to 48,096 and 74,745

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Solution

The third proportional to 48,096 and 74,745 is: 116,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096 : 74,745 = 74,745 : x
  2. Step 2: Convert to fraction form
    48,096/74,745 = 74,745/x
  3. Step 3: Cross multiply
    48,096x = 74,745 × 74,745
  4. Step 4: Simplify right side
    48,096x = 5,586,815,025
  5. Step 5: Solve for x
    x = 5,586,815,025/48,096
  6. Step 6: Final answer
    x = 116,159.66

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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.