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Finding the Third Proportional to 116,025 and 184,618.50

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Solution

The third proportional to 116,025 and 184,618.50 is: 293,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,025 : 184,618.50 = 184,618.50 : x
  2. Step 2: Convert to fraction form
    116,025/184,618.50 = 184,618.50/x
  3. Step 3: Cross multiply
    116,025x = 184,618.50 × 184,618.50
  4. Step 4: Simplify right side
    116,025x = 34,083,990,542.25
  5. Step 5: Solve for x
    x = 34,083,990,542.25/116,025
  6. Step 6: Final answer
    x = 293,764.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.