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Finding the Third Proportional to 74,829.75 and 109,326

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Solution

The third proportional to 74,829.75 and 109,326 is: 159,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,829.75 : 109,326 = 109,326 : x
  2. Step 2: Convert to fraction form
    74,829.75/109,326 = 109,326/x
  3. Step 3: Cross multiply
    74,829.75x = 109,326 × 109,326
  4. Step 4: Simplify right side
    74,829.75x = 11,952,174,276
  5. Step 5: Solve for x
    x = 11,952,174,276/74,829.75
  6. Step 6: Final answer
    x = 159,724.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.