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Finding the Third Proportional to 48,370 and 101,112

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Solution

The third proportional to 48,370 and 101,112 is: 211,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370 : 101,112 = 101,112 : x
  2. Step 2: Convert to fraction form
    48,370/101,112 = 101,112/x
  3. Step 3: Cross multiply
    48,370x = 101,112 × 101,112
  4. Step 4: Simplify right side
    48,370x = 10,223,636,544
  5. Step 5: Solve for x
    x = 10,223,636,544/48,370
  6. Step 6: Final answer
    x = 211,363.17

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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.