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Finding the Third Proportional to 81,598.50 and 145,512

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Solution

The third proportional to 81,598.50 and 145,512 is: 259,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598.50 : 145,512 = 145,512 : x
  2. Step 2: Convert to fraction form
    81,598.50/145,512 = 145,512/x
  3. Step 3: Cross multiply
    81,598.50x = 145,512 × 145,512
  4. Step 4: Simplify right side
    81,598.50x = 21,173,742,144
  5. Step 5: Solve for x
    x = 21,173,742,144/81,598.50
  6. Step 6: Final answer
    x = 259,486.90

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.