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Finding the Third Proportional to 72,322.88 and 108,054

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Solution

The third proportional to 72,322.88 and 108,054 is: 161,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,322.88 : 108,054 = 108,054 : x
  2. Step 2: Convert to fraction form
    72,322.88/108,054 = 108,054/x
  3. Step 3: Cross multiply
    72,322.88x = 108,054 × 108,054
  4. Step 4: Simplify right side
    72,322.88x = 11,675,666,916
  5. Step 5: Solve for x
    x = 11,675,666,916/72,322.88
  6. Step 6: Final answer
    x = 161,438.09

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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.