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Finding the Third Proportional to 48,606 and 75,063

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Solution

The third proportional to 48,606 and 75,063 is: 115,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606 : 75,063 = 75,063 : x
  2. Step 2: Convert to fraction form
    48,606/75,063 = 75,063/x
  3. Step 3: Cross multiply
    48,606x = 75,063 × 75,063
  4. Step 4: Simplify right side
    48,606x = 5,634,453,969
  5. Step 5: Solve for x
    x = 5,634,453,969/48,606
  6. Step 6: Final answer
    x = 115,920.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.