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Finding the Third Proportional to 155,592 and 171,632

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Solution

The third proportional to 155,592 and 171,632 is: 189,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,592 : 171,632 = 171,632 : x
  2. Step 2: Convert to fraction form
    155,592/171,632 = 171,632/x
  3. Step 3: Cross multiply
    155,592x = 171,632 × 171,632
  4. Step 4: Simplify right side
    155,592x = 29,457,543,424
  5. Step 5: Solve for x
    x = 29,457,543,424/155,592
  6. Step 6: Final answer
    x = 189,325.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.