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Finding the Third Proportional to 52,116.38 and 113,790.74

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Solution

The third proportional to 52,116.38 and 113,790.74 is: 248,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116.38 : 113,790.74 = 113,790.74 : x
  2. Step 2: Convert to fraction form
    52,116.38/113,790.74 = 113,790.74/x
  3. Step 3: Cross multiply
    52,116.38x = 113,790.74 × 113,790.74
  4. Step 4: Simplify right side
    52,116.38x = 12,948,332,952.02
  5. Step 5: Solve for x
    x = 12,948,332,952.02/52,116.38
  6. Step 6: Final answer
    x = 248,450.35

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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.