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Finding the Third Proportional to 59,226.19 and 94,147.31

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Solution

The third proportional to 59,226.19 and 94,147.31 is: 149,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,226.19 : 94,147.31 = 94,147.31 : x
  2. Step 2: Convert to fraction form
    59,226.19/94,147.31 = 94,147.31/x
  3. Step 3: Cross multiply
    59,226.19x = 94,147.31 × 94,147.31
  4. Step 4: Simplify right side
    59,226.19x = 8,863,716,450.97
  5. Step 5: Solve for x
    x = 8,863,716,450.97/59,226.19
  6. Step 6: Final answer
    x = 149,658.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.