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Finding the Third Proportional to 50,628 and 74,288

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Solution

The third proportional to 50,628 and 74,288 is: 109,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,628 : 74,288 = 74,288 : x
  2. Step 2: Convert to fraction form
    50,628/74,288 = 74,288/x
  3. Step 3: Cross multiply
    50,628x = 74,288 × 74,288
  4. Step 4: Simplify right side
    50,628x = 5,518,706,944
  5. Step 5: Solve for x
    x = 5,518,706,944/50,628
  6. Step 6: Final answer
    x = 109,005.04

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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.