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Finding the Third Proportional to 52,442.50 and 113,633

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Solution

The third proportional to 52,442.50 and 113,633 is: 246,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,442.50 : 113,633 = 113,633 : x
  2. Step 2: Convert to fraction form
    52,442.50/113,633 = 113,633/x
  3. Step 3: Cross multiply
    52,442.50x = 113,633 × 113,633
  4. Step 4: Simplify right side
    52,442.50x = 12,912,458,689
  5. Step 5: Solve for x
    x = 12,912,458,689/52,442.50
  6. Step 6: Final answer
    x = 246,221.26

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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.