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Finding the Third Proportional to 62,916 and 96,564

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Solution

The third proportional to 62,916 and 96,564 is: 148,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,916 : 96,564 = 96,564 : x
  2. Step 2: Convert to fraction form
    62,916/96,564 = 96,564/x
  3. Step 3: Cross multiply
    62,916x = 96,564 × 96,564
  4. Step 4: Simplify right side
    62,916x = 9,324,606,096
  5. Step 5: Solve for x
    x = 9,324,606,096/62,916
  6. Step 6: Final answer
    x = 148,207.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.