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Finding the Third Proportional to 96,581 and 149,242

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Solution

The third proportional to 96,581 and 149,242 is: 230,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,581 : 149,242 = 149,242 : x
  2. Step 2: Convert to fraction form
    96,581/149,242 = 149,242/x
  3. Step 3: Cross multiply
    96,581x = 149,242 × 149,242
  4. Step 4: Simplify right side
    96,581x = 22,273,174,564
  5. Step 5: Solve for x
    x = 22,273,174,564/96,581
  6. Step 6: Final answer
    x = 230,616.52

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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.