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Finding the Third Proportional to 65,443 and 100,724

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Solution

The third proportional to 65,443 and 100,724 is: 155,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,443 : 100,724 = 100,724 : x
  2. Step 2: Convert to fraction form
    65,443/100,724 = 100,724/x
  3. Step 3: Cross multiply
    65,443x = 100,724 × 100,724
  4. Step 4: Simplify right side
    65,443x = 10,145,324,176
  5. Step 5: Solve for x
    x = 10,145,324,176/65,443
  6. Step 6: Final answer
    x = 155,025.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.