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Finding the Third Proportional to 124,699.50 and 182,676.38

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Solution

The third proportional to 124,699.50 and 182,676.38 is: 267,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,699.50 : 182,676.38 = 182,676.38 : x
  2. Step 2: Convert to fraction form
    124,699.50/182,676.38 = 182,676.38/x
  3. Step 3: Cross multiply
    124,699.50x = 182,676.38 × 182,676.38
  4. Step 4: Simplify right side
    124,699.50x = 33,370,657,983.14
  5. Step 5: Solve for x
    x = 33,370,657,983.14/124,699.50
  6. Step 6: Final answer
    x = 267,608.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.