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Finding the Third Proportional to 102,426 and 158,247

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Solution

The third proportional to 102,426 and 158,247 is: 244,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,426 : 158,247 = 158,247 : x
  2. Step 2: Convert to fraction form
    102,426/158,247 = 158,247/x
  3. Step 3: Cross multiply
    102,426x = 158,247 × 158,247
  4. Step 4: Simplify right side
    102,426x = 25,042,113,009
  5. Step 5: Solve for x
    x = 25,042,113,009/102,426
  6. Step 6: Final answer
    x = 244,489.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.