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Finding the Third Proportional to 104,615 and 134,322.50

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Solution

The third proportional to 104,615 and 134,322.50 is: 172,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,615 : 134,322.50 = 134,322.50 : x
  2. Step 2: Convert to fraction form
    104,615/134,322.50 = 134,322.50/x
  3. Step 3: Cross multiply
    104,615x = 134,322.50 × 134,322.50
  4. Step 4: Simplify right side
    104,615x = 18,042,534,006.25
  5. Step 5: Solve for x
    x = 18,042,534,006.25/104,615
  6. Step 6: Final answer
    x = 172,466.03

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.