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Finding the Third Proportional to 57,089.81 and 114,726.38

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Solution

The third proportional to 57,089.81 and 114,726.38 is: 230,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,089.81 : 114,726.38 = 114,726.38 : x
  2. Step 2: Convert to fraction form
    57,089.81/114,726.38 = 114,726.38/x
  3. Step 3: Cross multiply
    57,089.81x = 114,726.38 × 114,726.38
  4. Step 4: Simplify right side
    57,089.81x = 13,162,141,120.64
  5. Step 5: Solve for x
    x = 13,162,141,120.64/57,089.81
  6. Step 6: Final answer
    x = 230,551.49

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.