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Finding the Third Proportional to 75,475.13 and 111,025.69

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Solution

The third proportional to 75,475.13 and 111,025.69 is: 163,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,475.13 : 111,025.69 = 111,025.69 : x
  2. Step 2: Convert to fraction form
    75,475.13/111,025.69 = 111,025.69/x
  3. Step 3: Cross multiply
    75,475.13x = 111,025.69 × 111,025.69
  4. Step 4: Simplify right side
    75,475.13x = 12,326,703,284.85
  5. Step 5: Solve for x
    x = 12,326,703,284.85/75,475.13
  6. Step 6: Final answer
    x = 163,321.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.