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Finding the Third Proportional to 127,326 and 269,829.94

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Solution

The third proportional to 127,326 and 269,829.94 is: 571,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,326 : 269,829.94 = 269,829.94 : x
  2. Step 2: Convert to fraction form
    127,326/269,829.94 = 269,829.94/x
  3. Step 3: Cross multiply
    127,326x = 269,829.94 × 269,829.94
  4. Step 4: Simplify right side
    127,326x = 72,808,195,171.25
  5. Step 5: Solve for x
    x = 72,808,195,171.25/127,326
  6. Step 6: Final answer
    x = 571,825.04

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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.