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Finding the Third Proportional to 127,996.88 and 172,308.94

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Solution

The third proportional to 127,996.88 and 172,308.94 is: 231,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,996.88 : 172,308.94 = 172,308.94 : x
  2. Step 2: Convert to fraction form
    127,996.88/172,308.94 = 172,308.94/x
  3. Step 3: Cross multiply
    127,996.88x = 172,308.94 × 172,308.94
  4. Step 4: Simplify right side
    127,996.88x = 29,690,369,942.38
  5. Step 5: Solve for x
    x = 29,690,369,942.38/127,996.88
  6. Step 6: Final answer
    x = 231,961.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.