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Finding the Third Proportional to 70,456 and 95,964

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Solution

The third proportional to 70,456 and 95,964 is: 130,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,456 : 95,964 = 95,964 : x
  2. Step 2: Convert to fraction form
    70,456/95,964 = 95,964/x
  3. Step 3: Cross multiply
    70,456x = 95,964 × 95,964
  4. Step 4: Simplify right side
    70,456x = 9,209,089,296
  5. Step 5: Solve for x
    x = 9,209,089,296/70,456
  6. Step 6: Final answer
    x = 130,706.96

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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.