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Finding the Third Proportional to 104,022 and 161,381

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Solution

The third proportional to 104,022 and 161,381 is: 250,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 161,381 = 161,381 : x
  2. Step 2: Convert to fraction form
    104,022/161,381 = 161,381/x
  3. Step 3: Cross multiply
    104,022x = 161,381 × 161,381
  4. Step 4: Simplify right side
    104,022x = 26,043,827,161
  5. Step 5: Solve for x
    x = 26,043,827,161/104,022
  6. Step 6: Final answer
    x = 250,368.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.