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Finding the Third Proportional to 57,240 and 116,097

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Solution

The third proportional to 57,240 and 116,097 is: 235,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240 : 116,097 = 116,097 : x
  2. Step 2: Convert to fraction form
    57,240/116,097 = 116,097/x
  3. Step 3: Cross multiply
    57,240x = 116,097 × 116,097
  4. Step 4: Simplify right side
    57,240x = 13,478,513,409
  5. Step 5: Solve for x
    x = 13,478,513,409/57,240
  6. Step 6: Final answer
    x = 235,473.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.