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Finding the Third Proportional to 57,423.94 and 121,667.06

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Solution

The third proportional to 57,423.94 and 121,667.06 is: 257,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,423.94 : 121,667.06 = 121,667.06 : x
  2. Step 2: Convert to fraction form
    57,423.94/121,667.06 = 121,667.06/x
  3. Step 3: Cross multiply
    57,423.94x = 121,667.06 × 121,667.06
  4. Step 4: Simplify right side
    57,423.94x = 14,802,874,097.38
  5. Step 5: Solve for x
    x = 14,802,874,097.38/57,423.94
  6. Step 6: Final answer
    x = 257,782.29

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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.