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Finding the Third Proportional to 57,599.25 and 89,396.25

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Solution

The third proportional to 57,599.25 and 89,396.25 is: 138,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,599.25 : 89,396.25 = 89,396.25 : x
  2. Step 2: Convert to fraction form
    57,599.25/89,396.25 = 89,396.25/x
  3. Step 3: Cross multiply
    57,599.25x = 89,396.25 × 89,396.25
  4. Step 4: Simplify right side
    57,599.25x = 7,991,689,514.06
  5. Step 5: Solve for x
    x = 7,991,689,514.06/57,599.25
  6. Step 6: Final answer
    x = 138,746.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.