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Finding the Third Proportional to 95,397.75 and 140,180.63

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Solution

The third proportional to 95,397.75 and 140,180.63 is: 205,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,397.75 : 140,180.63 = 140,180.63 : x
  2. Step 2: Convert to fraction form
    95,397.75/140,180.63 = 140,180.63/x
  3. Step 3: Cross multiply
    95,397.75x = 140,180.63 × 140,180.63
  4. Step 4: Simplify right side
    95,397.75x = 19,650,607,625.39
  5. Step 5: Solve for x
    x = 19,650,607,625.39/95,397.75
  6. Step 6: Final answer
    x = 205,986.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.