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Finding the Third Proportional to 52,788.38 and 113,828.63

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Solution

The third proportional to 52,788.38 and 113,828.63 is: 245,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,788.38 : 113,828.63 = 113,828.63 : x
  2. Step 2: Convert to fraction form
    52,788.38/113,828.63 = 113,828.63/x
  3. Step 3: Cross multiply
    52,788.38x = 113,828.63 × 113,828.63
  4. Step 4: Simplify right side
    52,788.38x = 12,956,955,869.39
  5. Step 5: Solve for x
    x = 12,956,955,869.39/52,788.38
  6. Step 6: Final answer
    x = 245,450.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.