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Finding the Third Proportional to 72,510 and 159,322

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Solution

The third proportional to 72,510 and 159,322 is: 350,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,510 : 159,322 = 159,322 : x
  2. Step 2: Convert to fraction form
    72,510/159,322 = 159,322/x
  3. Step 3: Cross multiply
    72,510x = 159,322 × 159,322
  4. Step 4: Simplify right side
    72,510x = 25,383,499,684
  5. Step 5: Solve for x
    x = 25,383,499,684/72,510
  6. Step 6: Final answer
    x = 350,068.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.