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Finding the Third Proportional to 74,447 and 161,195

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Solution

The third proportional to 74,447 and 161,195 is: 349,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,447 : 161,195 = 161,195 : x
  2. Step 2: Convert to fraction form
    74,447/161,195 = 161,195/x
  3. Step 3: Cross multiply
    74,447x = 161,195 × 161,195
  4. Step 4: Simplify right side
    74,447x = 25,983,828,025
  5. Step 5: Solve for x
    x = 25,983,828,025/74,447
  6. Step 6: Final answer
    x = 349,024.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.