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Finding the Third Proportional to 76,372 and 163,760

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Solution

The third proportional to 76,372 and 163,760 is: 351,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,372 : 163,760 = 163,760 : x
  2. Step 2: Convert to fraction form
    76,372/163,760 = 163,760/x
  3. Step 3: Cross multiply
    76,372x = 163,760 × 163,760
  4. Step 4: Simplify right side
    76,372x = 26,817,337,600
  5. Step 5: Solve for x
    x = 26,817,337,600/76,372
  6. Step 6: Final answer
    x = 351,140.96

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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.