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Finding the Third Proportional to 75,704.63 and 159,256.13

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Solution

The third proportional to 75,704.63 and 159,256.13 is: 335,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704.63 : 159,256.13 = 159,256.13 : x
  2. Step 2: Convert to fraction form
    75,704.63/159,256.13 = 159,256.13/x
  3. Step 3: Cross multiply
    75,704.63x = 159,256.13 × 159,256.13
  4. Step 4: Simplify right side
    75,704.63x = 25,362,513,350.02
  5. Step 5: Solve for x
    x = 25,362,513,350.02/75,704.63
  6. Step 6: Final answer
    x = 335,019.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.