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Finding the Third Proportional to 122,788.09 and 183,424.66

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Solution

The third proportional to 122,788.09 and 183,424.66 is: 274,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,788.09 : 183,424.66 = 183,424.66 : x
  2. Step 2: Convert to fraction form
    122,788.09/183,424.66 = 183,424.66/x
  3. Step 3: Cross multiply
    122,788.09x = 183,424.66 × 183,424.66
  4. Step 4: Simplify right side
    122,788.09x = 33,644,605,236.93
  5. Step 5: Solve for x
    x = 33,644,605,236.93/122,788.09
  6. Step 6: Final answer
    x = 274,005.45

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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.