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Finding the Third Proportional to 52,428.75 and 73,307.25

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Solution

The third proportional to 52,428.75 and 73,307.25 is: 102,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,428.75 : 73,307.25 = 73,307.25 : x
  2. Step 2: Convert to fraction form
    52,428.75/73,307.25 = 73,307.25/x
  3. Step 3: Cross multiply
    52,428.75x = 73,307.25 × 73,307.25
  4. Step 4: Simplify right side
    52,428.75x = 5,373,952,902.56
  5. Step 5: Solve for x
    x = 5,373,952,902.56/52,428.75
  6. Step 6: Final answer
    x = 102,500.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.