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Finding the Third Proportional to 53,164.69 and 73,235.81

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Solution

The third proportional to 53,164.69 and 73,235.81 is: 100,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164.69 : 73,235.81 = 73,235.81 : x
  2. Step 2: Convert to fraction form
    53,164.69/73,235.81 = 73,235.81/x
  3. Step 3: Cross multiply
    53,164.69x = 73,235.81 × 73,235.81
  4. Step 4: Simplify right side
    53,164.69x = 5,363,484,232.54
  5. Step 5: Solve for x
    x = 5,363,484,232.54/53,164.69
  6. Step 6: Final answer
    x = 100,884.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.