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Finding the Third Proportional to 51,956.58 and 111,683.25

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Solution

The third proportional to 51,956.58 and 111,683.25 is: 240,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,956.58 : 111,683.25 = 111,683.25 : x
  2. Step 2: Convert to fraction form
    51,956.58/111,683.25 = 111,683.25/x
  3. Step 3: Cross multiply
    51,956.58x = 111,683.25 × 111,683.25
  4. Step 4: Simplify right side
    51,956.58x = 12,473,148,330.56
  5. Step 5: Solve for x
    x = 12,473,148,330.56/51,956.58
  6. Step 6: Final answer
    x = 240,068.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.