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Finding the Third Proportional to 53,505.56 and 82,800.56

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Solution

The third proportional to 53,505.56 and 82,800.56 is: 128,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505.56 : 82,800.56 = 82,800.56 : x
  2. Step 2: Convert to fraction form
    53,505.56/82,800.56 = 82,800.56/x
  3. Step 3: Cross multiply
    53,505.56x = 82,800.56 × 82,800.56
  4. Step 4: Simplify right side
    53,505.56x = 6,855,933,150.32
  5. Step 5: Solve for x
    x = 6,855,933,150.32/53,505.56
  6. Step 6: Final answer
    x = 128,134.96

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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.