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Finding the Third Proportional to 127,147.14 and 172,676.89

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Solution

The third proportional to 127,147.14 and 172,676.89 is: 234,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,147.14 : 172,676.89 = 172,676.89 : x
  2. Step 2: Convert to fraction form
    127,147.14/172,676.89 = 172,676.89/x
  3. Step 3: Cross multiply
    127,147.14x = 172,676.89 × 172,676.89
  4. Step 4: Simplify right side
    127,147.14x = 29,817,308,893.18
  5. Step 5: Solve for x
    x = 29,817,308,893.18/127,147.14
  6. Step 6: Final answer
    x = 234,510.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.