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Finding the Third Proportional to 48,280 and 102,356

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Solution

The third proportional to 48,280 and 102,356 is: 216,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,280 : 102,356 = 102,356 : x
  2. Step 2: Convert to fraction form
    48,280/102,356 = 102,356/x
  3. Step 3: Cross multiply
    48,280x = 102,356 × 102,356
  4. Step 4: Simplify right side
    48,280x = 10,476,750,736
  5. Step 5: Solve for x
    x = 10,476,750,736/48,280
  6. Step 6: Final answer
    x = 216,999.81

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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.