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Finding the Third Proportional to 85,124.25 and 184,990.50

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Solution

The third proportional to 85,124.25 and 184,990.50 is: 402,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,124.25 : 184,990.50 = 184,990.50 : x
  2. Step 2: Convert to fraction form
    85,124.25/184,990.50 = 184,990.50/x
  3. Step 3: Cross multiply
    85,124.25x = 184,990.50 × 184,990.50
  4. Step 4: Simplify right side
    85,124.25x = 34,221,485,090.25
  5. Step 5: Solve for x
    x = 34,221,485,090.25/85,124.25
  6. Step 6: Final answer
    x = 402,018.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.