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Finding the Third Proportional to 49,046 and 73,719

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Solution

The third proportional to 49,046 and 73,719 is: 110,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,046 : 73,719 = 73,719 : x
  2. Step 2: Convert to fraction form
    49,046/73,719 = 73,719/x
  3. Step 3: Cross multiply
    49,046x = 73,719 × 73,719
  4. Step 4: Simplify right side
    49,046x = 5,434,490,961
  5. Step 5: Solve for x
    x = 5,434,490,961/49,046
  6. Step 6: Final answer
    x = 110,803.96

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