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Finding the Third Proportional to 75,922.31 and 113,268.38

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Solution

The third proportional to 75,922.31 and 113,268.38 is: 168,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,922.31 : 113,268.38 = 113,268.38 : x
  2. Step 2: Convert to fraction form
    75,922.31/113,268.38 = 113,268.38/x
  3. Step 3: Cross multiply
    75,922.31x = 113,268.38 × 113,268.38
  4. Step 4: Simplify right side
    75,922.31x = 12,829,724,775.14
  5. Step 5: Solve for x
    x = 12,829,724,775.14/75,922.31
  6. Step 6: Final answer
    x = 168,984.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.