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Finding the Third Proportional to 74,009 and 108,246

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Solution

The third proportional to 74,009 and 108,246 is: 158,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,009 : 108,246 = 108,246 : x
  2. Step 2: Convert to fraction form
    74,009/108,246 = 108,246/x
  3. Step 3: Cross multiply
    74,009x = 108,246 × 108,246
  4. Step 4: Simplify right side
    74,009x = 11,717,196,516
  5. Step 5: Solve for x
    x = 11,717,196,516/74,009
  6. Step 6: Final answer
    x = 158,321.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.