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Finding the Third Proportional to 112,164 and 234,712

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Solution

The third proportional to 112,164 and 234,712 is: 491,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,164 : 234,712 = 234,712 : x
  2. Step 2: Convert to fraction form
    112,164/234,712 = 234,712/x
  3. Step 3: Cross multiply
    112,164x = 234,712 × 234,712
  4. Step 4: Simplify right side
    112,164x = 55,089,722,944
  5. Step 5: Solve for x
    x = 55,089,722,944/112,164
  6. Step 6: Final answer
    x = 491,153.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.