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Finding the Third Proportional to 65,228 and 142,958

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Solution

The third proportional to 65,228 and 142,958 is: 313,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228 : 142,958 = 142,958 : x
  2. Step 2: Convert to fraction form
    65,228/142,958 = 142,958/x
  3. Step 3: Cross multiply
    65,228x = 142,958 × 142,958
  4. Step 4: Simplify right side
    65,228x = 20,436,989,764
  5. Step 5: Solve for x
    x = 20,436,989,764/65,228
  6. Step 6: Final answer
    x = 313,316.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.