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Finding the Third Proportional to 72,956 and 156,037

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Solution

The third proportional to 72,956 and 156,037 is: 333,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,956 : 156,037 = 156,037 : x
  2. Step 2: Convert to fraction form
    72,956/156,037 = 156,037/x
  3. Step 3: Cross multiply
    72,956x = 156,037 × 156,037
  4. Step 4: Simplify right side
    72,956x = 24,347,545,369
  5. Step 5: Solve for x
    x = 24,347,545,369/72,956
  6. Step 6: Final answer
    x = 333,729.17

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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.