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Finding the Third Proportional to 59,428.97 and 132,145.59

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Solution

The third proportional to 59,428.97 and 132,145.59 is: 293,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,428.97 : 132,145.59 = 132,145.59 : x
  2. Step 2: Convert to fraction form
    59,428.97/132,145.59 = 132,145.59/x
  3. Step 3: Cross multiply
    59,428.97x = 132,145.59 × 132,145.59
  4. Step 4: Simplify right side
    59,428.97x = 17,462,457,947.54
  5. Step 5: Solve for x
    x = 17,462,457,947.54/59,428.97
  6. Step 6: Final answer
    x = 293,837.47

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.