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Finding the Third Proportional to 57,009 and 85,855.50

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Solution

The third proportional to 57,009 and 85,855.50 is: 129,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009 : 85,855.50 = 85,855.50 : x
  2. Step 2: Convert to fraction form
    57,009/85,855.50 = 85,855.50/x
  3. Step 3: Cross multiply
    57,009x = 85,855.50 × 85,855.50
  4. Step 4: Simplify right side
    57,009x = 7,371,166,880.25
  5. Step 5: Solve for x
    x = 7,371,166,880.25/57,009
  6. Step 6: Final answer
    x = 129,298.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.