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Finding the Third Proportional to 127,910 and 198,609

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Solution

The third proportional to 127,910 and 198,609 is: 308,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,910 : 198,609 = 198,609 : x
  2. Step 2: Convert to fraction form
    127,910/198,609 = 198,609/x
  3. Step 3: Cross multiply
    127,910x = 198,609 × 198,609
  4. Step 4: Simplify right side
    127,910x = 39,445,534,881
  5. Step 5: Solve for x
    x = 39,445,534,881/127,910
  6. Step 6: Final answer
    x = 308,385.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.