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Finding the Third Proportional to 34,158 and 72,219

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Solution

The third proportional to 34,158 and 72,219 is: 152,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,158 : 72,219 = 72,219 : x
  2. Step 2: Convert to fraction form
    34,158/72,219 = 72,219/x
  3. Step 3: Cross multiply
    34,158x = 72,219 × 72,219
  4. Step 4: Simplify right side
    34,158x = 5,215,583,961
  5. Step 5: Solve for x
    x = 5,215,583,961/34,158
  6. Step 6: Final answer
    x = 152,689.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.