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Finding the Third Proportional to 65,437.88 and 135,735.75

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Solution

The third proportional to 65,437.88 and 135,735.75 is: 281,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,437.88 : 135,735.75 = 135,735.75 : x
  2. Step 2: Convert to fraction form
    65,437.88/135,735.75 = 135,735.75/x
  3. Step 3: Cross multiply
    65,437.88x = 135,735.75 × 135,735.75
  4. Step 4: Simplify right side
    65,437.88x = 18,424,193,828.06
  5. Step 5: Solve for x
    x = 18,424,193,828.06/65,437.88
  6. Step 6: Final answer
    x = 281,552.45

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.