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Finding the Third Proportional to 50,871 and 80,614

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Solution

The third proportional to 50,871 and 80,614 is: 127,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871 : 80,614 = 80,614 : x
  2. Step 2: Convert to fraction form
    50,871/80,614 = 80,614/x
  3. Step 3: Cross multiply
    50,871x = 80,614 × 80,614
  4. Step 4: Simplify right side
    50,871x = 6,498,616,996
  5. Step 5: Solve for x
    x = 6,498,616,996/50,871
  6. Step 6: Final answer
    x = 127,746.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.