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Finding the Third Proportional to 59,631.19 and 129,615.19

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Solution

The third proportional to 59,631.19 and 129,615.19 is: 281,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,631.19 : 129,615.19 = 129,615.19 : x
  2. Step 2: Convert to fraction form
    59,631.19/129,615.19 = 129,615.19/x
  3. Step 3: Cross multiply
    59,631.19x = 129,615.19 × 129,615.19
  4. Step 4: Simplify right side
    59,631.19x = 16,800,096,830.66
  5. Step 5: Solve for x
    x = 16,800,096,830.66/59,631.19
  6. Step 6: Final answer
    x = 281,733.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.