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Finding the Third Proportional to 32,143 and 69,219

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Solution

The third proportional to 32,143 and 69,219 is: 149,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143 : 69,219 = 69,219 : x
  2. Step 2: Convert to fraction form
    32,143/69,219 = 69,219/x
  3. Step 3: Cross multiply
    32,143x = 69,219 × 69,219
  4. Step 4: Simplify right side
    32,143x = 4,791,269,961
  5. Step 5: Solve for x
    x = 4,791,269,961/32,143
  6. Step 6: Final answer
    x = 149,061.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.