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Finding the Third Proportional to 72,673.50 and 154,142.25

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Solution

The third proportional to 72,673.50 and 154,142.25 is: 326,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,673.50 : 154,142.25 = 154,142.25 : x
  2. Step 2: Convert to fraction form
    72,673.50/154,142.25 = 154,142.25/x
  3. Step 3: Cross multiply
    72,673.50x = 154,142.25 × 154,142.25
  4. Step 4: Simplify right side
    72,673.50x = 23,759,833,235.06
  5. Step 5: Solve for x
    x = 23,759,833,235.06/72,673.50
  6. Step 6: Final answer
    x = 326,939.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.