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Finding the Third Proportional to 104,906 and 158,229

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Solution

The third proportional to 104,906 and 158,229 is: 238,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906 : 158,229 = 158,229 : x
  2. Step 2: Convert to fraction form
    104,906/158,229 = 158,229/x
  3. Step 3: Cross multiply
    104,906x = 158,229 × 158,229
  4. Step 4: Simplify right side
    104,906x = 25,036,416,441
  5. Step 5: Solve for x
    x = 25,036,416,441/104,906
  6. Step 6: Final answer
    x = 238,655.72

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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.