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Finding the Third Proportional to 95,676 and 149,328

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Solution

The third proportional to 95,676 and 149,328 is: 233,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,676 : 149,328 = 149,328 : x
  2. Step 2: Convert to fraction form
    95,676/149,328 = 149,328/x
  3. Step 3: Cross multiply
    95,676x = 149,328 × 149,328
  4. Step 4: Simplify right side
    95,676x = 22,298,851,584
  5. Step 5: Solve for x
    x = 22,298,851,584/95,676
  6. Step 6: Final answer
    x = 233,066.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.