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Finding the Third Proportional to 59,076.84 and 129,632.91

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Solution

The third proportional to 59,076.84 and 129,632.91 is: 284,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,076.84 : 129,632.91 = 129,632.91 : x
  2. Step 2: Convert to fraction form
    59,076.84/129,632.91 = 129,632.91/x
  3. Step 3: Cross multiply
    59,076.84x = 129,632.91 × 129,632.91
  4. Step 4: Simplify right side
    59,076.84x = 16,804,690,382.82
  5. Step 5: Solve for x
    x = 16,804,690,382.82/59,076.84
  6. Step 6: Final answer
    x = 284,454.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.