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Finding the Third Proportional to 114,407.44 and 177,147

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Solution

The third proportional to 114,407.44 and 177,147 is: 274,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,407.44 : 177,147 = 177,147 : x
  2. Step 2: Convert to fraction form
    114,407.44/177,147 = 177,147/x
  3. Step 3: Cross multiply
    114,407.44x = 177,147 × 177,147
  4. Step 4: Simplify right side
    114,407.44x = 31,381,059,609
  5. Step 5: Solve for x
    x = 31,381,059,609/114,407.44
  6. Step 6: Final answer
    x = 274,292.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.