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Finding the Third Proportional to 72,672.19 and 154,024.03

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Solution

The third proportional to 72,672.19 and 154,024.03 is: 326,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,672.19 : 154,024.03 = 154,024.03 : x
  2. Step 2: Convert to fraction form
    72,672.19/154,024.03 = 154,024.03/x
  3. Step 3: Cross multiply
    72,672.19x = 154,024.03 × 154,024.03
  4. Step 4: Simplify right side
    72,672.19x = 23,723,402,202.50
  5. Step 5: Solve for x
    x = 23,723,402,202.50/72,672.19
  6. Step 6: Final answer
    x = 326,444.04

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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.