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Finding the Third Proportional to 59,255.06 and 129,595.50

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Solution

The third proportional to 59,255.06 and 129,595.50 is: 283,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,255.06 : 129,595.50 = 129,595.50 : x
  2. Step 2: Convert to fraction form
    59,255.06/129,595.50 = 129,595.50/x
  3. Step 3: Cross multiply
    59,255.06x = 129,595.50 × 129,595.50
  4. Step 4: Simplify right side
    59,255.06x = 16,794,993,620.25
  5. Step 5: Solve for x
    x = 16,794,993,620.25/59,255.06
  6. Step 6: Final answer
    x = 283,435.59

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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.