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Finding the Third Proportional to 70,482 and 96,647

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Solution

The third proportional to 70,482 and 96,647 is: 132,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,482 : 96,647 = 96,647 : x
  2. Step 2: Convert to fraction form
    70,482/96,647 = 96,647/x
  3. Step 3: Cross multiply
    70,482x = 96,647 × 96,647
  4. Step 4: Simplify right side
    70,482x = 9,340,642,609
  5. Step 5: Solve for x
    x = 9,340,642,609/70,482
  6. Step 6: Final answer
    x = 132,525.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.