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Finding the Third Proportional to 72,996 and 160,360

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Solution

The third proportional to 72,996 and 160,360 is: 352,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996 : 160,360 = 160,360 : x
  2. Step 2: Convert to fraction form
    72,996/160,360 = 160,360/x
  3. Step 3: Cross multiply
    72,996x = 160,360 × 160,360
  4. Step 4: Simplify right side
    72,996x = 25,715,329,600
  5. Step 5: Solve for x
    x = 25,715,329,600/72,996
  6. Step 6: Final answer
    x = 352,284.09

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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.