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Finding the Third Proportional to 122,208.75 and 182,557.13

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Solution

The third proportional to 122,208.75 and 182,557.13 is: 272,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,208.75 : 182,557.13 = 182,557.13 : x
  2. Step 2: Convert to fraction form
    122,208.75/182,557.13 = 182,557.13/x
  3. Step 3: Cross multiply
    122,208.75x = 182,557.13 × 182,557.13
  4. Step 4: Simplify right side
    122,208.75x = 33,327,103,888.27
  5. Step 5: Solve for x
    x = 33,327,103,888.27/122,208.75
  6. Step 6: Final answer
    x = 272,706.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.