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Finding the Third Proportional to 57,390.19 and 121,727.81

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Solution

The third proportional to 57,390.19 and 121,727.81 is: 258,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,390.19 : 121,727.81 = 121,727.81 : x
  2. Step 2: Convert to fraction form
    57,390.19/121,727.81 = 121,727.81/x
  3. Step 3: Cross multiply
    57,390.19x = 121,727.81 × 121,727.81
  4. Step 4: Simplify right side
    57,390.19x = 14,817,660,336.04
  5. Step 5: Solve for x
    x = 14,817,660,336.04/57,390.19
  6. Step 6: Final answer
    x = 258,191.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.