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Finding the Third Proportional to 49,173 and 73,808

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Solution

The third proportional to 49,173 and 73,808 is: 110,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,173 : 73,808 = 73,808 : x
  2. Step 2: Convert to fraction form
    49,173/73,808 = 73,808/x
  3. Step 3: Cross multiply
    49,173x = 73,808 × 73,808
  4. Step 4: Simplify right side
    49,173x = 5,447,620,864
  5. Step 5: Solve for x
    x = 5,447,620,864/49,173
  6. Step 6: Final answer
    x = 110,784.80

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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.