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Finding the Third Proportional to 52,339.50 and 113,362.50

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Solution

The third proportional to 52,339.50 and 113,362.50 is: 245,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339.50 : 113,362.50 = 113,362.50 : x
  2. Step 2: Convert to fraction form
    52,339.50/113,362.50 = 113,362.50/x
  3. Step 3: Cross multiply
    52,339.50x = 113,362.50 × 113,362.50
  4. Step 4: Simplify right side
    52,339.50x = 12,851,056,406.25
  5. Step 5: Solve for x
    x = 12,851,056,406.25/52,339.50
  6. Step 6: Final answer
    x = 245,532.66

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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.