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Finding the Third Proportional to 115,668 and 174,966

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Solution

The third proportional to 115,668 and 174,966 is: 264,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,668 : 174,966 = 174,966 : x
  2. Step 2: Convert to fraction form
    115,668/174,966 = 174,966/x
  3. Step 3: Cross multiply
    115,668x = 174,966 × 174,966
  4. Step 4: Simplify right side
    115,668x = 30,613,101,156
  5. Step 5: Solve for x
    x = 30,613,101,156/115,668
  6. Step 6: Final answer
    x = 264,663.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.