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Finding the Third Proportional to 67,668 and 96,174

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Solution

The third proportional to 67,668 and 96,174 is: 136,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,668 : 96,174 = 96,174 : x
  2. Step 2: Convert to fraction form
    67,668/96,174 = 96,174/x
  3. Step 3: Cross multiply
    67,668x = 96,174 × 96,174
  4. Step 4: Simplify right side
    67,668x = 9,249,438,276
  5. Step 5: Solve for x
    x = 9,249,438,276/67,668
  6. Step 6: Final answer
    x = 136,688.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.