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Finding the Third Proportional to 68,222 and 105,247

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Solution

The third proportional to 68,222 and 105,247 is: 162,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,222 : 105,247 = 105,247 : x
  2. Step 2: Convert to fraction form
    68,222/105,247 = 105,247/x
  3. Step 3: Cross multiply
    68,222x = 105,247 × 105,247
  4. Step 4: Simplify right side
    68,222x = 11,076,931,009
  5. Step 5: Solve for x
    x = 11,076,931,009/68,222
  6. Step 6: Final answer
    x = 162,365.97

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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.