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Finding the Third Proportional to 57,398 and 86,155

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Solution

The third proportional to 57,398 and 86,155 is: 129,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,398 : 86,155 = 86,155 : x
  2. Step 2: Convert to fraction form
    57,398/86,155 = 86,155/x
  3. Step 3: Cross multiply
    57,398x = 86,155 × 86,155
  4. Step 4: Simplify right side
    57,398x = 7,422,684,025
  5. Step 5: Solve for x
    x = 7,422,684,025/57,398
  6. Step 6: Final answer
    x = 129,319.56

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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.