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Finding the Third Proportional to 49,440 and 102,383

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Solution

The third proportional to 49,440 and 102,383 is: 212,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,440 : 102,383 = 102,383 : x
  2. Step 2: Convert to fraction form
    49,440/102,383 = 102,383/x
  3. Step 3: Cross multiply
    49,440x = 102,383 × 102,383
  4. Step 4: Simplify right side
    49,440x = 10,482,278,689
  5. Step 5: Solve for x
    x = 10,482,278,689/49,440
  6. Step 6: Final answer
    x = 212,020.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.