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Finding the Third Proportional to 52,425 and 113,145

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Solution

The third proportional to 52,425 and 113,145 is: 244,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,425 : 113,145 = 113,145 : x
  2. Step 2: Convert to fraction form
    52,425/113,145 = 113,145/x
  3. Step 3: Cross multiply
    52,425x = 113,145 × 113,145
  4. Step 4: Simplify right side
    52,425x = 12,801,791,025
  5. Step 5: Solve for x
    x = 12,801,791,025/52,425
  6. Step 6: Final answer
    x = 244,192.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.