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Finding the Third Proportional to 50,951 and 67,953

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Solution

The third proportional to 50,951 and 67,953 is: 90,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,951 : 67,953 = 67,953 : x
  2. Step 2: Convert to fraction form
    50,951/67,953 = 67,953/x
  3. Step 3: Cross multiply
    50,951x = 67,953 × 67,953
  4. Step 4: Simplify right side
    50,951x = 4,617,610,209
  5. Step 5: Solve for x
    x = 4,617,610,209/50,951
  6. Step 6: Final answer
    x = 90,628.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.