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Finding the Third Proportional to 51,603.75 and 85,405.75

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Solution

The third proportional to 51,603.75 and 85,405.75 is: 141,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.75 : 85,405.75 = 85,405.75 : x
  2. Step 2: Convert to fraction form
    51,603.75/85,405.75 = 85,405.75/x
  3. Step 3: Cross multiply
    51,603.75x = 85,405.75 × 85,405.75
  4. Step 4: Simplify right side
    51,603.75x = 7,294,142,133.06
  5. Step 5: Solve for x
    x = 7,294,142,133.06/51,603.75
  6. Step 6: Final answer
    x = 141,349.07

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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.