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Finding the Third Proportional to 55,669 and 86,215.50

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Solution

The third proportional to 55,669 and 86,215.50 is: 133,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,669 : 86,215.50 = 86,215.50 : x
  2. Step 2: Convert to fraction form
    55,669/86,215.50 = 86,215.50/x
  3. Step 3: Cross multiply
    55,669x = 86,215.50 × 86,215.50
  4. Step 4: Simplify right side
    55,669x = 7,433,112,440.25
  5. Step 5: Solve for x
    x = 7,433,112,440.25/55,669
  6. Step 6: Final answer
    x = 133,523.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.