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Finding the Third Proportional to 65,215 and 142,930

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Solution

The third proportional to 65,215 and 142,930 is: 313,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215 : 142,930 = 142,930 : x
  2. Step 2: Convert to fraction form
    65,215/142,930 = 142,930/x
  3. Step 3: Cross multiply
    65,215x = 142,930 × 142,930
  4. Step 4: Simplify right side
    65,215x = 20,428,984,900
  5. Step 5: Solve for x
    x = 20,428,984,900/65,215
  6. Step 6: Final answer
    x = 313,255.92

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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.