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Finding the Third Proportional to 65,872 and 96,324

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Solution

The third proportional to 65,872 and 96,324 is: 140,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,872 : 96,324 = 96,324 : x
  2. Step 2: Convert to fraction form
    65,872/96,324 = 96,324/x
  3. Step 3: Cross multiply
    65,872x = 96,324 × 96,324
  4. Step 4: Simplify right side
    65,872x = 9,278,312,976
  5. Step 5: Solve for x
    x = 9,278,312,976/65,872
  6. Step 6: Final answer
    x = 140,853.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.