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Finding the Third Proportional to 72,671 and 162,349

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Solution

The third proportional to 72,671 and 162,349 is: 362,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,671 : 162,349 = 162,349 : x
  2. Step 2: Convert to fraction form
    72,671/162,349 = 162,349/x
  3. Step 3: Cross multiply
    72,671x = 162,349 × 162,349
  4. Step 4: Simplify right side
    72,671x = 26,357,197,801
  5. Step 5: Solve for x
    x = 26,357,197,801/72,671
  6. Step 6: Final answer
    x = 362,692.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.