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Finding the Third Proportional to 74,652 and 161,340

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Solution

The third proportional to 74,652 and 161,340 is: 348,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,652 : 161,340 = 161,340 : x
  2. Step 2: Convert to fraction form
    74,652/161,340 = 161,340/x
  3. Step 3: Cross multiply
    74,652x = 161,340 × 161,340
  4. Step 4: Simplify right side
    74,652x = 26,030,595,600
  5. Step 5: Solve for x
    x = 26,030,595,600/74,652
  6. Step 6: Final answer
    x = 348,692.54

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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.