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Finding the Third Proportional to 111,316 and 167,934

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Solution

The third proportional to 111,316 and 167,934 is: 253,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,316 : 167,934 = 167,934 : x
  2. Step 2: Convert to fraction form
    111,316/167,934 = 167,934/x
  3. Step 3: Cross multiply
    111,316x = 167,934 × 167,934
  4. Step 4: Simplify right side
    111,316x = 28,201,828,356
  5. Step 5: Solve for x
    x = 28,201,828,356/111,316
  6. Step 6: Final answer
    x = 253,349.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.