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Finding the Third Proportional to 71,230 and 150,506

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Solution

The third proportional to 71,230 and 150,506 is: 318,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,230 : 150,506 = 150,506 : x
  2. Step 2: Convert to fraction form
    71,230/150,506 = 150,506/x
  3. Step 3: Cross multiply
    71,230x = 150,506 × 150,506
  4. Step 4: Simplify right side
    71,230x = 22,652,056,036
  5. Step 5: Solve for x
    x = 22,652,056,036/71,230
  6. Step 6: Final answer
    x = 318,012.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.