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Finding the Third Proportional to 70,477 and 96,643

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Solution

The third proportional to 70,477 and 96,643 is: 132,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,477 : 96,643 = 96,643 : x
  2. Step 2: Convert to fraction form
    70,477/96,643 = 96,643/x
  3. Step 3: Cross multiply
    70,477x = 96,643 × 96,643
  4. Step 4: Simplify right side
    70,477x = 9,339,869,449
  5. Step 5: Solve for x
    x = 9,339,869,449/70,477
  6. Step 6: Final answer
    x = 132,523.65

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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.