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Finding the Third Proportional to 48,168 and 102,168

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Solution

The third proportional to 48,168 and 102,168 is: 216,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,168 : 102,168 = 102,168 : x
  2. Step 2: Convert to fraction form
    48,168/102,168 = 102,168/x
  3. Step 3: Cross multiply
    48,168x = 102,168 × 102,168
  4. Step 4: Simplify right side
    48,168x = 10,438,300,224
  5. Step 5: Solve for x
    x = 10,438,300,224/48,168
  6. Step 6: Final answer
    x = 216,706.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.