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Finding the Third Proportional to 48,110 and 70,303

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Solution

The third proportional to 48,110 and 70,303 is: 102,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,110 : 70,303 = 70,303 : x
  2. Step 2: Convert to fraction form
    48,110/70,303 = 70,303/x
  3. Step 3: Cross multiply
    48,110x = 70,303 × 70,303
  4. Step 4: Simplify right side
    48,110x = 4,942,511,809
  5. Step 5: Solve for x
    x = 4,942,511,809/48,110
  6. Step 6: Final answer
    x = 102,733.56

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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.