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Finding the Third Proportional to 29,194 and 64,219

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Solution

The third proportional to 29,194 and 64,219 is: 141,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194 : 64,219 = 64,219 : x
  2. Step 2: Convert to fraction form
    29,194/64,219 = 64,219/x
  3. Step 3: Cross multiply
    29,194x = 64,219 × 64,219
  4. Step 4: Simplify right side
    29,194x = 4,124,079,961
  5. Step 5: Solve for x
    x = 4,124,079,961/29,194
  6. Step 6: Final answer
    x = 141,264.64

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Why These Related Problems?

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