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Finding the Third Proportional to 48,112 and 70,306

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Solution

The third proportional to 48,112 and 70,306 is: 102,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,112 : 70,306 = 70,306 : x
  2. Step 2: Convert to fraction form
    48,112/70,306 = 70,306/x
  3. Step 3: Cross multiply
    48,112x = 70,306 × 70,306
  4. Step 4: Simplify right side
    48,112x = 4,942,933,636
  5. Step 5: Solve for x
    x = 4,942,933,636/48,112
  6. Step 6: Final answer
    x = 102,738.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.