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Finding the Third Proportional to 32,868 and 72,284

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Solution

The third proportional to 32,868 and 72,284 is: 158,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868 : 72,284 = 72,284 : x
  2. Step 2: Convert to fraction form
    32,868/72,284 = 72,284/x
  3. Step 3: Cross multiply
    32,868x = 72,284 × 72,284
  4. Step 4: Simplify right side
    32,868x = 5,224,976,656
  5. Step 5: Solve for x
    x = 5,224,976,656/32,868
  6. Step 6: Final answer
    x = 158,968.50

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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.