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Finding the Third Proportional to 52,308.50 and 113,307.50

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Solution

The third proportional to 52,308.50 and 113,307.50 is: 245,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,308.50 : 113,307.50 = 113,307.50 : x
  2. Step 2: Convert to fraction form
    52,308.50/113,307.50 = 113,307.50/x
  3. Step 3: Cross multiply
    52,308.50x = 113,307.50 × 113,307.50
  4. Step 4: Simplify right side
    52,308.50x = 12,838,589,556.25
  5. Step 5: Solve for x
    x = 12,838,589,556.25/52,308.50
  6. Step 6: Final answer
    x = 245,439.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.