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Finding the Third Proportional to 65,019 and 91,318.50

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Solution

The third proportional to 65,019 and 91,318.50 is: 128,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,019 : 91,318.50 = 91,318.50 : x
  2. Step 2: Convert to fraction form
    65,019/91,318.50 = 91,318.50/x
  3. Step 3: Cross multiply
    65,019x = 91,318.50 × 91,318.50
  4. Step 4: Simplify right side
    65,019x = 8,339,068,442.25
  5. Step 5: Solve for x
    x = 8,339,068,442.25/65,019
  6. Step 6: Final answer
    x = 128,255.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.