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Finding the Third Proportional to 126,497.63 and 271,755.19

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Solution

The third proportional to 126,497.63 and 271,755.19 is: 583,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,497.63 : 271,755.19 = 271,755.19 : x
  2. Step 2: Convert to fraction form
    126,497.63/271,755.19 = 271,755.19/x
  3. Step 3: Cross multiply
    126,497.63x = 271,755.19 × 271,755.19
  4. Step 4: Simplify right side
    126,497.63x = 73,850,881,933.16
  5. Step 5: Solve for x
    x = 73,850,881,933.16/126,497.63
  6. Step 6: Final answer
    x = 583,812.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.