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Finding the Third Proportional to 71,149 and 95,208

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Solution

The third proportional to 71,149 and 95,208 is: 127,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,149 : 95,208 = 95,208 : x
  2. Step 2: Convert to fraction form
    71,149/95,208 = 95,208/x
  3. Step 3: Cross multiply
    71,149x = 95,208 × 95,208
  4. Step 4: Simplify right side
    71,149x = 9,064,563,264
  5. Step 5: Solve for x
    x = 9,064,563,264/71,149
  6. Step 6: Final answer
    x = 127,402.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.