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Finding the Third Proportional to 50,111 and 73,526

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Solution

The third proportional to 50,111 and 73,526 is: 107,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,111 : 73,526 = 73,526 : x
  2. Step 2: Convert to fraction form
    50,111/73,526 = 73,526/x
  3. Step 3: Cross multiply
    50,111x = 73,526 × 73,526
  4. Step 4: Simplify right side
    50,111x = 5,406,072,676
  5. Step 5: Solve for x
    x = 5,406,072,676/50,111
  6. Step 6: Final answer
    x = 107,881.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.