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Finding the Third Proportional to 42,725.25 and 64,089

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Solution

The third proportional to 42,725.25 and 64,089 is: 96,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,725.25 : 64,089 = 64,089 : x
  2. Step 2: Convert to fraction form
    42,725.25/64,089 = 64,089/x
  3. Step 3: Cross multiply
    42,725.25x = 64,089 × 64,089
  4. Step 4: Simplify right side
    42,725.25x = 4,107,399,921
  5. Step 5: Solve for x
    x = 4,107,399,921/42,725.25
  6. Step 6: Final answer
    x = 96,135.19

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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.