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Finding the Third Proportional to 64,260 and 136,296

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Solution

The third proportional to 64,260 and 136,296 is: 289,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,260 : 136,296 = 136,296 : x
  2. Step 2: Convert to fraction form
    64,260/136,296 = 136,296/x
  3. Step 3: Cross multiply
    64,260x = 136,296 × 136,296
  4. Step 4: Simplify right side
    64,260x = 18,576,599,616
  5. Step 5: Solve for x
    x = 18,576,599,616/64,260
  6. Step 6: Final answer
    x = 289,084.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.