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Finding the Third Proportional to 62,328 and 135,024

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Solution

The third proportional to 62,328 and 135,024 is: 292,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,328 : 135,024 = 135,024 : x
  2. Step 2: Convert to fraction form
    62,328/135,024 = 135,024/x
  3. Step 3: Cross multiply
    62,328x = 135,024 × 135,024
  4. Step 4: Simplify right side
    62,328x = 18,231,480,576
  5. Step 5: Solve for x
    x = 18,231,480,576/62,328
  6. Step 6: Final answer
    x = 292,508.67

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Why These Related Problems?

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