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Finding the Third Proportional to 57,305 and 86,065

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Solution

The third proportional to 57,305 and 86,065 is: 129,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305 : 86,065 = 86,065 : x
  2. Step 2: Convert to fraction form
    57,305/86,065 = 86,065/x
  3. Step 3: Cross multiply
    57,305x = 86,065 × 86,065
  4. Step 4: Simplify right side
    57,305x = 7,407,184,225
  5. Step 5: Solve for x
    x = 7,407,184,225/57,305
  6. Step 6: Final answer
    x = 129,258.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.