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Finding the Third Proportional to 70,533 and 95,684

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Solution

The third proportional to 70,533 and 95,684 is: 129,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,533 : 95,684 = 95,684 : x
  2. Step 2: Convert to fraction form
    70,533/95,684 = 95,684/x
  3. Step 3: Cross multiply
    70,533x = 95,684 × 95,684
  4. Step 4: Simplify right side
    70,533x = 9,155,427,856
  5. Step 5: Solve for x
    x = 9,155,427,856/70,533
  6. Step 6: Final answer
    x = 129,803.47

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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.