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Finding the Third Proportional to 62,665.50 and 130,495.50

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Solution

The third proportional to 62,665.50 and 130,495.50 is: 271,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,665.50 : 130,495.50 = 130,495.50 : x
  2. Step 2: Convert to fraction form
    62,665.50/130,495.50 = 130,495.50/x
  3. Step 3: Cross multiply
    62,665.50x = 130,495.50 × 130,495.50
  4. Step 4: Simplify right side
    62,665.50x = 17,029,075,520.25
  5. Step 5: Solve for x
    x = 17,029,075,520.25/62,665.50
  6. Step 6: Final answer
    x = 271,745.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.