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Finding the Third Proportional to 59,393.25 and 119,758.50

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Solution

The third proportional to 59,393.25 and 119,758.50 is: 241,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,393.25 : 119,758.50 = 119,758.50 : x
  2. Step 2: Convert to fraction form
    59,393.25/119,758.50 = 119,758.50/x
  3. Step 3: Cross multiply
    59,393.25x = 119,758.50 × 119,758.50
  4. Step 4: Simplify right side
    59,393.25x = 14,342,098,322.25
  5. Step 5: Solve for x
    x = 14,342,098,322.25/59,393.25
  6. Step 6: Final answer
    x = 241,476.91

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.