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Finding the Third Proportional to 85,119 and 128,863.50

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Solution

The third proportional to 85,119 and 128,863.50 is: 195,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,119 : 128,863.50 = 128,863.50 : x
  2. Step 2: Convert to fraction form
    85,119/128,863.50 = 128,863.50/x
  3. Step 3: Cross multiply
    85,119x = 128,863.50 × 128,863.50
  4. Step 4: Simplify right side
    85,119x = 16,605,801,632.25
  5. Step 5: Solve for x
    x = 16,605,801,632.25/85,119
  6. Step 6: Final answer
    x = 195,089.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.