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Finding the Third Proportional to 111,632 and 156,146

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Solution

The third proportional to 111,632 and 156,146 is: 218,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,632 : 156,146 = 156,146 : x
  2. Step 2: Convert to fraction form
    111,632/156,146 = 156,146/x
  3. Step 3: Cross multiply
    111,632x = 156,146 × 156,146
  4. Step 4: Simplify right side
    111,632x = 24,381,573,316
  5. Step 5: Solve for x
    x = 24,381,573,316/111,632
  6. Step 6: Final answer
    x = 218,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.