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Finding the Third Proportional to 59,076.84 and 129,634.59

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Solution

The third proportional to 59,076.84 and 129,634.59 is: 284,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,076.84 : 129,634.59 = 129,634.59 : x
  2. Step 2: Convert to fraction form
    59,076.84/129,634.59 = 129,634.59/x
  3. Step 3: Cross multiply
    59,076.84x = 129,634.59 × 129,634.59
  4. Step 4: Simplify right side
    59,076.84x = 16,805,127,896.73
  5. Step 5: Solve for x
    x = 16,805,127,896.73/59,076.84
  6. Step 6: Final answer
    x = 284,462.18

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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.