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Finding the Third Proportional to 59,411.25 and 132,105

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Solution

The third proportional to 59,411.25 and 132,105 is: 293,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,411.25 : 132,105 = 132,105 : x
  2. Step 2: Convert to fraction form
    59,411.25/132,105 = 132,105/x
  3. Step 3: Cross multiply
    59,411.25x = 132,105 × 132,105
  4. Step 4: Simplify right side
    59,411.25x = 17,451,731,025
  5. Step 5: Solve for x
    x = 17,451,731,025/59,411.25
  6. Step 6: Final answer
    x = 293,744.55

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Why These Related Problems?

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