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Finding the Third Proportional to 109,196 and 146,735

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Solution

The third proportional to 109,196 and 146,735 is: 197,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,196 : 146,735 = 146,735 : x
  2. Step 2: Convert to fraction form
    109,196/146,735 = 146,735/x
  3. Step 3: Cross multiply
    109,196x = 146,735 × 146,735
  4. Step 4: Simplify right side
    109,196x = 21,531,160,225
  5. Step 5: Solve for x
    x = 21,531,160,225/109,196
  6. Step 6: Final answer
    x = 197,179.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.