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Finding the Third Proportional to 72,657.95 and 154,119.43

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Solution

The third proportional to 72,657.95 and 154,119.43 is: 326,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657.95 : 154,119.43 = 154,119.43 : x
  2. Step 2: Convert to fraction form
    72,657.95/154,119.43 = 154,119.43/x
  3. Step 3: Cross multiply
    72,657.95x = 154,119.43 × 154,119.43
  4. Step 4: Simplify right side
    72,657.95x = 23,752,798,005.17
  5. Step 5: Solve for x
    x = 23,752,798,005.17/72,657.95
  6. Step 6: Final answer
    x = 326,912.59

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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.