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Finding the Third Proportional to 102,271 and 156,977

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Solution

The third proportional to 102,271 and 156,977 is: 240,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,271 : 156,977 = 156,977 : x
  2. Step 2: Convert to fraction form
    102,271/156,977 = 156,977/x
  3. Step 3: Cross multiply
    102,271x = 156,977 × 156,977
  4. Step 4: Simplify right side
    102,271x = 24,641,778,529
  5. Step 5: Solve for x
    x = 24,641,778,529/102,271
  6. Step 6: Final answer
    x = 240,945.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.