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Finding the Third Proportional to 96,580 and 149,244

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Solution

The third proportional to 96,580 and 149,244 is: 230,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,580 : 149,244 = 149,244 : x
  2. Step 2: Convert to fraction form
    96,580/149,244 = 149,244/x
  3. Step 3: Cross multiply
    96,580x = 149,244 × 149,244
  4. Step 4: Simplify right side
    96,580x = 22,273,771,536
  5. Step 5: Solve for x
    x = 22,273,771,536/96,580
  6. Step 6: Final answer
    x = 230,625.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.