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Finding the Third Proportional to 48,482 and 101,356

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Solution

The third proportional to 48,482 and 101,356 is: 211,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,482 : 101,356 = 101,356 : x
  2. Step 2: Convert to fraction form
    48,482/101,356 = 101,356/x
  3. Step 3: Cross multiply
    48,482x = 101,356 × 101,356
  4. Step 4: Simplify right side
    48,482x = 10,273,038,736
  5. Step 5: Solve for x
    x = 10,273,038,736/48,482
  6. Step 6: Final answer
    x = 211,893.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.