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Finding the Third Proportional to 48,096 and 102,726

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Solution

The third proportional to 48,096 and 102,726 is: 219,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096 : 102,726 = 102,726 : x
  2. Step 2: Convert to fraction form
    48,096/102,726 = 102,726/x
  3. Step 3: Cross multiply
    48,096x = 102,726 × 102,726
  4. Step 4: Simplify right side
    48,096x = 10,552,631,076
  5. Step 5: Solve for x
    x = 10,552,631,076/48,096
  6. Step 6: Final answer
    x = 219,407.67

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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.