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Finding the Third Proportional to 48,097 and 102,728

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Solution

The third proportional to 48,097 and 102,728 is: 219,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,097 : 102,728 = 102,728 : x
  2. Step 2: Convert to fraction form
    48,097/102,728 = 102,728/x
  3. Step 3: Cross multiply
    48,097x = 102,728 × 102,728
  4. Step 4: Simplify right side
    48,097x = 10,553,041,984
  5. Step 5: Solve for x
    x = 10,553,041,984/48,097
  6. Step 6: Final answer
    x = 219,411.65

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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.