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Finding the Third Proportional to 52,938.56 and 113,546.81

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Solution

The third proportional to 52,938.56 and 113,546.81 is: 243,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,938.56 : 113,546.81 = 113,546.81 : x
  2. Step 2: Convert to fraction form
    52,938.56/113,546.81 = 113,546.81/x
  3. Step 3: Cross multiply
    52,938.56x = 113,546.81 × 113,546.81
  4. Step 4: Simplify right side
    52,938.56x = 12,892,878,628.91
  5. Step 5: Solve for x
    x = 12,892,878,628.91/52,938.56
  6. Step 6: Final answer
    x = 243,544.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.