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Finding the Third Proportional to 88,296.19 and 113,374.69

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Solution

The third proportional to 88,296.19 and 113,374.69 is: 145,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,296.19 : 113,374.69 = 113,374.69 : x
  2. Step 2: Convert to fraction form
    88,296.19/113,374.69 = 113,374.69/x
  3. Step 3: Cross multiply
    88,296.19x = 113,374.69 × 113,374.69
  4. Step 4: Simplify right side
    88,296.19x = 12,853,819,765.72
  5. Step 5: Solve for x
    x = 12,853,819,765.72/88,296.19
  6. Step 6: Final answer
    x = 145,576.16

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.