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Finding the Third Proportional to 70,882 and 96,308

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Solution

The third proportional to 70,882 and 96,308 is: 130,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882 : 96,308 = 96,308 : x
  2. Step 2: Convert to fraction form
    70,882/96,308 = 96,308/x
  3. Step 3: Cross multiply
    70,882x = 96,308 × 96,308
  4. Step 4: Simplify right side
    70,882x = 9,275,230,864
  5. Step 5: Solve for x
    x = 9,275,230,864/70,882
  6. Step 6: Final answer
    x = 130,854.53

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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.