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Finding the Third Proportional to 53,766.56 and 75,200.06

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Solution

The third proportional to 53,766.56 and 75,200.06 is: 105,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,766.56 : 75,200.06 = 75,200.06 : x
  2. Step 2: Convert to fraction form
    53,766.56/75,200.06 = 75,200.06/x
  3. Step 3: Cross multiply
    53,766.56x = 75,200.06 × 75,200.06
  4. Step 4: Simplify right side
    53,766.56x = 5,655,049,400.00
  5. Step 5: Solve for x
    x = 5,655,049,400.00/53,766.56
  6. Step 6: Final answer
    x = 105,177.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.