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Finding the Third Proportional to 50,208 and 73,776

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Solution

The third proportional to 50,208 and 73,776 is: 108,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,208 : 73,776 = 73,776 : x
  2. Step 2: Convert to fraction form
    50,208/73,776 = 73,776/x
  3. Step 3: Cross multiply
    50,208x = 73,776 × 73,776
  4. Step 4: Simplify right side
    50,208x = 5,442,898,176
  5. Step 5: Solve for x
    x = 5,442,898,176/50,208
  6. Step 6: Final answer
    x = 108,406.99

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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.