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Finding the Third Proportional to 72,657 and 155,682

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Solution

The third proportional to 72,657 and 155,682 is: 333,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657 : 155,682 = 155,682 : x
  2. Step 2: Convert to fraction form
    72,657/155,682 = 155,682/x
  3. Step 3: Cross multiply
    72,657x = 155,682 × 155,682
  4. Step 4: Simplify right side
    72,657x = 24,236,885,124
  5. Step 5: Solve for x
    x = 24,236,885,124/72,657
  6. Step 6: Final answer
    x = 333,579.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.