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Finding the Third Proportional to 48,995 and 73,559

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Solution

The third proportional to 48,995 and 73,559 is: 110,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,995 : 73,559 = 73,559 : x
  2. Step 2: Convert to fraction form
    48,995/73,559 = 73,559/x
  3. Step 3: Cross multiply
    48,995x = 73,559 × 73,559
  4. Step 4: Simplify right side
    48,995x = 5,410,926,481
  5. Step 5: Solve for x
    x = 5,410,926,481/48,995
  6. Step 6: Final answer
    x = 110,438.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.