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Finding the Third Proportional to 86,528.25 and 184,113

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Solution

The third proportional to 86,528.25 and 184,113 is: 391,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,528.25 : 184,113 = 184,113 : x
  2. Step 2: Convert to fraction form
    86,528.25/184,113 = 184,113/x
  3. Step 3: Cross multiply
    86,528.25x = 184,113 × 184,113
  4. Step 4: Simplify right side
    86,528.25x = 33,897,596,769
  5. Step 5: Solve for x
    x = 33,897,596,769/86,528.25
  6. Step 6: Final answer
    x = 391,751.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.