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Finding the Third Proportional to 65,676 and 142,360

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Solution

The third proportional to 65,676 and 142,360 is: 308,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676 : 142,360 = 142,360 : x
  2. Step 2: Convert to fraction form
    65,676/142,360 = 142,360/x
  3. Step 3: Cross multiply
    65,676x = 142,360 × 142,360
  4. Step 4: Simplify right side
    65,676x = 20,266,369,600
  5. Step 5: Solve for x
    x = 20,266,369,600/65,676
  6. Step 6: Final answer
    x = 308,581.06

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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.