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Finding the Third Proportional to 49,972 and 108,650

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Solution

The third proportional to 49,972 and 108,650 is: 236,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,972 : 108,650 = 108,650 : x
  2. Step 2: Convert to fraction form
    49,972/108,650 = 108,650/x
  3. Step 3: Cross multiply
    49,972x = 108,650 × 108,650
  4. Step 4: Simplify right side
    49,972x = 11,804,822,500
  5. Step 5: Solve for x
    x = 11,804,822,500/49,972
  6. Step 6: Final answer
    x = 236,228.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.