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Finding the Third Proportional to 45,380 and 96,250

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Solution

The third proportional to 45,380 and 96,250 is: 204,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380 : 96,250 = 96,250 : x
  2. Step 2: Convert to fraction form
    45,380/96,250 = 96,250/x
  3. Step 3: Cross multiply
    45,380x = 96,250 × 96,250
  4. Step 4: Simplify right side
    45,380x = 9,264,062,500
  5. Step 5: Solve for x
    x = 9,264,062,500/45,380
  6. Step 6: Final answer
    x = 204,144.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.