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Finding the Third Proportional to 81,135 and 118,563.75

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Solution

The third proportional to 81,135 and 118,563.75 is: 173,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,135 : 118,563.75 = 118,563.75 : x
  2. Step 2: Convert to fraction form
    81,135/118,563.75 = 118,563.75/x
  3. Step 3: Cross multiply
    81,135x = 118,563.75 × 118,563.75
  4. Step 4: Simplify right side
    81,135x = 14,057,362,814.06
  5. Step 5: Solve for x
    x = 14,057,362,814.06/81,135
  6. Step 6: Final answer
    x = 173,258.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.