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Finding the Third Proportional to 57,341.81 and 84,322.69

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Solution

The third proportional to 57,341.81 and 84,322.69 is: 123,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,341.81 : 84,322.69 = 84,322.69 : x
  2. Step 2: Convert to fraction form
    57,341.81/84,322.69 = 84,322.69/x
  3. Step 3: Cross multiply
    57,341.81x = 84,322.69 × 84,322.69
  4. Step 4: Simplify right side
    57,341.81x = 7,110,315,627.22
  5. Step 5: Solve for x
    x = 7,110,315,627.22/57,341.81
  6. Step 6: Final answer
    x = 123,998.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.