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Finding the Third Proportional to 55,768.50 and 86,751

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Solution

The third proportional to 55,768.50 and 86,751 is: 134,946

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,768.50 : 86,751 = 86,751 : x
  2. Step 2: Convert to fraction form
    55,768.50/86,751 = 86,751/x
  3. Step 3: Cross multiply
    55,768.50x = 86,751 × 86,751
  4. Step 4: Simplify right side
    55,768.50x = 7,525,736,001
  5. Step 5: Solve for x
    x = 7,525,736,001/55,768.50
  6. Step 6: Final answer
    x = 134,946

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.