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Finding the Third Proportional to 85,261.50 and 133,754.63

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Solution

The third proportional to 85,261.50 and 133,754.63 is: 209,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,261.50 : 133,754.63 = 133,754.63 : x
  2. Step 2: Convert to fraction form
    85,261.50/133,754.63 = 133,754.63/x
  3. Step 3: Cross multiply
    85,261.50x = 133,754.63 × 133,754.63
  4. Step 4: Simplify right side
    85,261.50x = 17,890,299,708.89
  5. Step 5: Solve for x
    x = 17,890,299,708.89/85,261.50
  6. Step 6: Final answer
    x = 209,828.58

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.