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Finding the Third Proportional to 81,261 and 107,851.50

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Solution

The third proportional to 81,261 and 107,851.50 is: 143,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,261 : 107,851.50 = 107,851.50 : x
  2. Step 2: Convert to fraction form
    81,261/107,851.50 = 107,851.50/x
  3. Step 3: Cross multiply
    81,261x = 107,851.50 × 107,851.50
  4. Step 4: Simplify right side
    81,261x = 11,631,946,052.25
  5. Step 5: Solve for x
    x = 11,631,946,052.25/81,261
  6. Step 6: Final answer
    x = 143,143.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.