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Finding the Third Proportional to 70,464 and 95,976

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Solution

The third proportional to 70,464 and 95,976 is: 130,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,464 : 95,976 = 95,976 : x
  2. Step 2: Convert to fraction form
    70,464/95,976 = 95,976/x
  3. Step 3: Cross multiply
    70,464x = 95,976 × 95,976
  4. Step 4: Simplify right side
    70,464x = 9,211,392,576
  5. Step 5: Solve for x
    x = 9,211,392,576/70,464
  6. Step 6: Final answer
    x = 130,724.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.