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Finding the Third Proportional to 43,292 and 65,065

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Solution

The third proportional to 43,292 and 65,065 is: 97,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,292 : 65,065 = 65,065 : x
  2. Step 2: Convert to fraction form
    43,292/65,065 = 65,065/x
  3. Step 3: Cross multiply
    43,292x = 65,065 × 65,065
  4. Step 4: Simplify right side
    43,292x = 4,233,454,225
  5. Step 5: Solve for x
    x = 4,233,454,225/43,292
  6. Step 6: Final answer
    x = 97,788.37

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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.