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Finding the Third Proportional to 67,252.50 and 151,830.50

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Solution

The third proportional to 67,252.50 and 151,830.50 is: 342,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,252.50 : 151,830.50 = 151,830.50 : x
  2. Step 2: Convert to fraction form
    67,252.50/151,830.50 = 151,830.50/x
  3. Step 3: Cross multiply
    67,252.50x = 151,830.50 × 151,830.50
  4. Step 4: Simplify right side
    67,252.50x = 23,052,500,730.25
  5. Step 5: Solve for x
    x = 23,052,500,730.25/67,252.50
  6. Step 6: Final answer
    x = 342,775.37

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.