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Finding the Third Proportional to 106,772 and 247,150

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Solution

The third proportional to 106,772 and 247,150 is: 572,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,772 : 247,150 = 247,150 : x
  2. Step 2: Convert to fraction form
    106,772/247,150 = 247,150/x
  3. Step 3: Cross multiply
    106,772x = 247,150 × 247,150
  4. Step 4: Simplify right side
    106,772x = 61,083,122,500
  5. Step 5: Solve for x
    x = 61,083,122,500/106,772
  6. Step 6: Final answer
    x = 572,089.34

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.