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Finding the Third Proportional to 55,405.50 and 75,332.25

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Solution

The third proportional to 55,405.50 and 75,332.25 is: 102,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,405.50 : 75,332.25 = 75,332.25 : x
  2. Step 2: Convert to fraction form
    55,405.50/75,332.25 = 75,332.25/x
  3. Step 3: Cross multiply
    55,405.50x = 75,332.25 × 75,332.25
  4. Step 4: Simplify right side
    55,405.50x = 5,674,947,890.06
  5. Step 5: Solve for x
    x = 5,674,947,890.06/55,405.50
  6. Step 6: Final answer
    x = 102,425.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.