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Finding the Third Proportional to 59,150.81 and 128,138.06

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Solution

The third proportional to 59,150.81 and 128,138.06 is: 277,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,150.81 : 128,138.06 = 128,138.06 : x
  2. Step 2: Convert to fraction form
    59,150.81/128,138.06 = 128,138.06/x
  3. Step 3: Cross multiply
    59,150.81x = 128,138.06 × 128,138.06
  4. Step 4: Simplify right side
    59,150.81x = 16,419,363,061.25
  5. Step 5: Solve for x
    x = 16,419,363,061.25/59,150.81
  6. Step 6: Final answer
    x = 277,584.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.