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Finding the Third Proportional to 44,082 and 68,108.63

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Solution

The third proportional to 44,082 and 68,108.63 is: 105,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,082 : 68,108.63 = 68,108.63 : x
  2. Step 2: Convert to fraction form
    44,082/68,108.63 = 68,108.63/x
  3. Step 3: Cross multiply
    44,082x = 68,108.63 × 68,108.63
  4. Step 4: Simplify right side
    44,082x = 4,638,784,799.39
  5. Step 5: Solve for x
    x = 4,638,784,799.39/44,082
  6. Step 6: Final answer
    x = 105,230.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.