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Finding the Third Proportional to 74,372 and 162,412

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Solution

The third proportional to 74,372 and 162,412 is: 354,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,372 : 162,412 = 162,412 : x
  2. Step 2: Convert to fraction form
    74,372/162,412 = 162,412/x
  3. Step 3: Cross multiply
    74,372x = 162,412 × 162,412
  4. Step 4: Simplify right side
    74,372x = 26,377,657,744
  5. Step 5: Solve for x
    x = 26,377,657,744/74,372
  6. Step 6: Final answer
    x = 354,671.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.