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Finding the Third Proportional to 95,407.50 and 140,194

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Solution

The third proportional to 95,407.50 and 140,194 is: 206,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,407.50 : 140,194 = 140,194 : x
  2. Step 2: Convert to fraction form
    95,407.50/140,194 = 140,194/x
  3. Step 3: Cross multiply
    95,407.50x = 140,194 × 140,194
  4. Step 4: Simplify right side
    95,407.50x = 19,654,357,636
  5. Step 5: Solve for x
    x = 19,654,357,636/95,407.50
  6. Step 6: Final answer
    x = 206,004.32

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