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Finding the Third Proportional to 74,733 and 161,677

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Solution

The third proportional to 74,733 and 161,677 is: 349,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,733 : 161,677 = 161,677 : x
  2. Step 2: Convert to fraction form
    74,733/161,677 = 161,677/x
  3. Step 3: Cross multiply
    74,733x = 161,677 × 161,677
  4. Step 4: Simplify right side
    74,733x = 26,139,452,329
  5. Step 5: Solve for x
    x = 26,139,452,329/74,733
  6. Step 6: Final answer
    x = 349,771.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.