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Finding the Third Proportional to 48,043 and 102,323

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Solution

The third proportional to 48,043 and 102,323 is: 217,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,043 : 102,323 = 102,323 : x
  2. Step 2: Convert to fraction form
    48,043/102,323 = 102,323/x
  3. Step 3: Cross multiply
    48,043x = 102,323 × 102,323
  4. Step 4: Simplify right side
    48,043x = 10,469,996,329
  5. Step 5: Solve for x
    x = 10,469,996,329/48,043
  6. Step 6: Final answer
    x = 217,929.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.