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Finding the Third Proportional to 124,939.50 and 182,723.50

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Solution

The third proportional to 124,939.50 and 182,723.50 is: 267,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,939.50 : 182,723.50 = 182,723.50 : x
  2. Step 2: Convert to fraction form
    124,939.50/182,723.50 = 182,723.50/x
  3. Step 3: Cross multiply
    124,939.50x = 182,723.50 × 182,723.50
  4. Step 4: Simplify right side
    124,939.50x = 33,387,877,452.25
  5. Step 5: Solve for x
    x = 33,387,877,452.25/124,939.50
  6. Step 6: Final answer
    x = 267,232.36

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