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Finding the Third Proportional to 85,595.25 and 128,651.63

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Solution

The third proportional to 85,595.25 and 128,651.63 is: 193,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,595.25 : 128,651.63 = 128,651.63 : x
  2. Step 2: Convert to fraction form
    85,595.25/128,651.63 = 128,651.63/x
  3. Step 3: Cross multiply
    85,595.25x = 128,651.63 × 128,651.63
  4. Step 4: Simplify right side
    85,595.25x = 16,551,240,615.14
  5. Step 5: Solve for x
    x = 16,551,240,615.14/85,595.25
  6. Step 6: Final answer
    x = 193,366.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.