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Finding the Third Proportional to 55,218 and 86,107.50

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Solution

The third proportional to 55,218 and 86,107.50 is: 134,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218 : 86,107.50 = 86,107.50 : x
  2. Step 2: Convert to fraction form
    55,218/86,107.50 = 86,107.50/x
  3. Step 3: Cross multiply
    55,218x = 86,107.50 × 86,107.50
  4. Step 4: Simplify right side
    55,218x = 7,414,501,556.25
  5. Step 5: Solve for x
    x = 7,414,501,556.25/55,218
  6. Step 6: Final answer
    x = 134,276.89

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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.