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Finding the Third Proportional to 85,097.25 and 141,334.50

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Solution

The third proportional to 85,097.25 and 141,334.50 is: 234,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,097.25 : 141,334.50 = 141,334.50 : x
  2. Step 2: Convert to fraction form
    85,097.25/141,334.50 = 141,334.50/x
  3. Step 3: Cross multiply
    85,097.25x = 141,334.50 × 141,334.50
  4. Step 4: Simplify right side
    85,097.25x = 19,975,440,890.25
  5. Step 5: Solve for x
    x = 19,975,440,890.25/85,097.25
  6. Step 6: Final answer
    x = 234,736.62

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.