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Finding the Third Proportional to 54,685.13 and 128,759.63

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Solution

The third proportional to 54,685.13 and 128,759.63 is: 303,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,685.13 : 128,759.63 = 128,759.63 : x
  2. Step 2: Convert to fraction form
    54,685.13/128,759.63 = 128,759.63/x
  3. Step 3: Cross multiply
    54,685.13x = 128,759.63 × 128,759.63
  4. Step 4: Simplify right side
    54,685.13x = 16,579,041,030.14
  5. Step 5: Solve for x
    x = 16,579,041,030.14/54,685.13
  6. Step 6: Final answer
    x = 303,172.77

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.