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Finding the Third Proportional to 49,029 and 107,049.25

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Solution

The third proportional to 49,029 and 107,049.25 is: 233,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,029 : 107,049.25 = 107,049.25 : x
  2. Step 2: Convert to fraction form
    49,029/107,049.25 = 107,049.25/x
  3. Step 3: Cross multiply
    49,029x = 107,049.25 × 107,049.25
  4. Step 4: Simplify right side
    49,029x = 11,459,541,925.56
  5. Step 5: Solve for x
    x = 11,459,541,925.56/49,029
  6. Step 6: Final answer
    x = 233,729.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.