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Finding the Third Proportional to 70,476 and 96,642

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Solution

The third proportional to 70,476 and 96,642 is: 132,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,476 : 96,642 = 96,642 : x
  2. Step 2: Convert to fraction form
    70,476/96,642 = 96,642/x
  3. Step 3: Cross multiply
    70,476x = 96,642 × 96,642
  4. Step 4: Simplify right side
    70,476x = 9,339,676,164
  5. Step 5: Solve for x
    x = 9,339,676,164/70,476
  6. Step 6: Final answer
    x = 132,522.79

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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.