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Finding the Third Proportional to 86,077.50 and 185,751

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Solution

The third proportional to 86,077.50 and 185,751 is: 400,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,077.50 : 185,751 = 185,751 : x
  2. Step 2: Convert to fraction form
    86,077.50/185,751 = 185,751/x
  3. Step 3: Cross multiply
    86,077.50x = 185,751 × 185,751
  4. Step 4: Simplify right side
    86,077.50x = 34,503,434,001
  5. Step 5: Solve for x
    x = 34,503,434,001/86,077.50
  6. Step 6: Final answer
    x = 400,841.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.