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Finding the Third Proportional to 50,982 and 109,776

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Solution

The third proportional to 50,982 and 109,776 is: 236,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,982 : 109,776 = 109,776 : x
  2. Step 2: Convert to fraction form
    50,982/109,776 = 109,776/x
  3. Step 3: Cross multiply
    50,982x = 109,776 × 109,776
  4. Step 4: Simplify right side
    50,982x = 12,050,770,176
  5. Step 5: Solve for x
    x = 12,050,770,176/50,982
  6. Step 6: Final answer
    x = 236,373.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.